Combined set for geometry quiz
What is the slope of the line?
-1/2
Which steps should be used to graph the equation y - 4 = 1/3 (x + 2)?
1. Plot the point (-2,4). 2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.
What is the slope of the line?
5/2
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use: Step 1: Choose a point on the line, such as (2, 5). Step 2: Choose another point on the line, such as (1, 3). Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is 1/2 Step 4: Substitute those values into the point-slope form. y - y1 = m(x - x1) y - 3 = (x - 1) Which of Talia's steps is incorrect?
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Anya graphed the line (y - 2) = 3(x - 1) on the coordinate grid.
The slope of her line is 3
What is the equation in point slope form given the following information? m= 2/5 (-5, -6)
y + 6 = 2/5(x + 5)
m= 2/5 (-5, -6)
y + 6 = 2/5(x + 5)
What is the equation of the graphed line in point-slope form?
y + 6 = 3/4 (x + 4)
What is the equation in point slope form given the following information? m= 4 (-1, -6)
y + 6 = 4 (x + 1)
m= 4 (-1, -6)
y + 6 = 4 (x + 1)
What is the equation in point slope form given the following information? m= 2 (-1, 0)
y - 0 = 2(x + 1)
m= 2 (-1, 0)
y - 0 = 2(x + 1)
Slope is -2 and (1, 1) is on the line
y - 1 = -2 (x - 1)
Which equation represents a line that passes through (5, 1) and has a slope of 1/2 ?
y - 1 = 1/2(x -5)
Slope is 1/3 and ( -3, 1) is on the line
y - 1 = 1/3 (x + 3)
What is the equation of the graphed line in point-slope form?
y - 1 = 2/3 (x - 3)
Which equation represents a line that passes through (4,1/3 ) and has a slope of 3/4 ?
y - 1/3 = 3/4 (x - 4)
Slope is 0 and (1, 2) is on the line
y - 2 = 0 (x - 1)
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3 ?
y - 2 = 1/3(x - 3)
Slope is 1/4 and (1, 2) is on the line
y - 2 = 1/4 (x - 1)
What is the equation in point slope form given the following information? m= 5 (-1, 2)
y - 2 = 5(x + 1)
m= 5 (-1, 2)
y - 2 = 5(x + 1)
Slope is 6 and (1, 2) is on the line
y - 2 = 6 (x-1)
What is the equation in point slope form given the following information? m= -2 (5, 3)
y - 3 = -2(x - 5)
m= -2 (5, 3)
y - 3 = -2(x - 5)
Slope is 1/2 and (2, 3) is on the line
y - 3 = 1/2 (x - 2)
Alejandra correctly wrote the equation y - 3 = 1/5 (x - 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
y - 3 = 2(x - 10)
Slope is 8 and (4 , 3 ) is on the line
y - 3 = 8 (x -4)
Which equation represents a line that passes through (-2, 4) and has a slope of 2/5?
y - 4 = 2/5(x + 2)
Slope is 8 and (2, 4)
y - 4 = 8 (x + 2)
What is the equation in point slope form given the following information? m = -1 (3, 5)
y - 5 = -(x-3)
m = -1 (3, 5)
y - 5 = -(x-3)
Slope is 2/3 and ( 2, 5) is on the line
y - 5 = 2/3 (x - 2)
What is the equation in point slope form given the following information? m= 1/2 (2, 6)
y - 6 = 1/2(x - 2)
m= 1/2 (2, 6)
y - 6 = 1/2(x - 2)
What is the equation in point slope form given the following information? m= 3 (1, 6)
y - 6 = 3(x - 1)
m= 3 (1, 6)
y - 6 = 3(x - 1)
Chin was shown the graph of a line that contained point (1, 7). He wrote f(x) = 4x + 3 to correctly represent the line. Which of these equations could represent the same line?
y - 7 = 4(x - 1)
Slope is 11 and (5, 9) is on the line
y - 9 = 11 (x - 5)
What is the equation in point slope form given the following information? m= 2 (-1, 0)
y = 2(x + 1)
m= 2 (-1, 0)
y = 2(x + 1)
Write the equation if b = -2 and m = 3
y = 3x - 2
What is the equation in point slope form given the following information?m = -1 (3, 5)
y-5 = -(x-3)
m = -1 (3, 5)
y-5 = -(x-3)
The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x = 0 representing the year 2000, the graph below models this scenario. What number will complete the point-slope equation that models this scenario?
y-50,000 = -3,000(x-10)
The b in y=mx+b is the
y-intercept (where the line crosses the y-axis)
Write the equation if b = 3 and m = -2
y= -2x+3
Slope-intercept form for equation of a line.
y=mx+b
What is the equation in point slope form given the following information? m= 1/2 (2, -3)
y + 3 = 1/2(x - 2)
m= 1/2 (2, -3)
y + 3 = 1/2(x - 2)
Slope is 2 and (-2 , -3 ) is on the line
y + 3 = 2 (x + 2)
What is the equation of the graphed line in point-slope form?
y + 3 = 2 (x + 3)
What is the equation in point slope form given the following information? m= 4 (2, -3)
y + 3 = 4(x - 2)
m= 4 (2, -3)
y + 3 = 4(x - 2)
Slope is 5 and (-8 , -3) is on the line
y + 3 = 5 (x + 8)
What is the equation in point slope form given the following information? m= 5 (-2, -3)
y + 3 = 5(x + 2)
m= 5 (-2, -3)
y + 3 = 5(x + 2)
Slope is 7 and (-5, -3) is on the line
y + 3 = 7 (x + 5)
Run
Horizontal Change or Change in X
Slope is 0 and (-2, -1) is on the line
y + 1 = 0 (x + 2)
Slope is 1 and (-2, -1) is on the line
y + 1 = 1 (x +2 )
Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
y + 1/2 = 3(x - 2)
Slope is 9 and (-9 , -2) is on the line
y + 2 = 9 (x + 9)
What is the equation in point slope form given the following information? m= -1/4 (4, -3)
y + 3 = -1/4(x - 4)
Rise
Vertical Change or Change in Y
The equation of a linear function in point-slope form is y - y1 = m(x - x1). Harold correctly wrote the equation y = 3(x - 7) using a point and the slope. Which point did Harold use?
When Harold wrote his equation, the point he used was (7, 0).
What is the equation in point slope form given the following information?m= -1/4 (4, -3)
y + 3 = -1/4(x - 4)
m= -1/4 (4, -3)
y + 3 = -1/4(x - 4)
Which equation represents a line that passes through (-9, -3) and has a slope of -6?
y + 3 = -6(x + 9)
Which linear function represents the line given by the point-slope equation y + 1 = -3(x - 5)?
f(x) = -3x + 14
Which equations and/or functions represent the graphed line? Check all that apply.
f(x) = 0.5x + 2 f(x) = 1/2x + 2 y - 3 = 1/2(x - 2) y - 1 = 0.5(x + 2)
To write the equation of a line, you need to find these two things......
slope (m) and y-intercept (b)
The m in the y=mx+b is the
slope of the line