Slope-Intercept, Standard, and Point-Slope Form

What is the slope of the equation: y = -x - 14

-1

What is the x-intercept for the equation -3x + y = 3

-1

What is the slope of the line?

-1/2

What is the Y-intercept for the equation 2x - 5y = 10

-2

What is the x-intercept for the equation -2x + y = 4

-2

What is the x-intercept for the equation 3x + 2y = -6

-2

What is the y-intercept of the graph?

-2

What is the y-intercept for the equation 3x + 2y = -6

-3

What is the y-intercept of the table?

-3

What is the y-intercept of the equation: y=5x

0

What is the y-intercept of the graph?

0

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 equation: y =2x + 3

2

y = (-1/2)x - 3

2x + 4y = -12 (Write in slope-intercept form)

y = -2x +5

2x + y = 5 (Write in slope-intercept form)

What is the y-intercept for the equation -3x + y = 3

3

What is the y-intercept of the equation: y= 2x + 3

3

y = (-3/2)x + 3

3x + 2y = 6 (Write in slope-intercept form)

y = -x - 4

3x + 3y = -12 (Write in slope-intercept form)

y = (1/2)x - 3/2

3x - 6y = 9 (Write in slope-intercept form)

What is the slope of the table?

4

What is the y-intercept for the equation -2x + y = 4

4

y = (-1/3)x - (1/2)

4x + 12y = -6 (Write in slope-intercept form)

y = (-4/7)x + 6/7

4x + 7y = 6 (Write in slope-intercept form)

y = -4x - 2

4x + y = -2 (Write in slope-intercept form)

What is the slope of the equation" y=5x

5

What is the x-intercept for the equation 2x - 5y = 10

5

What is the slope of the line?

5/2

What is the slope of the graph?

5/3

y = (-5/3)x - 8/3

5x + 3y = -8 (Write in slope-intercept form)

y = (5/4)x - 7/4

5x - 4y = 7 (Write in slope-intercept form)

y = 2x - 2

6x - 3y = 6 (Write in slope-intercept form)

y = (2/3)x - 1

6x - 9y = 9 (Write in slope-intercept form)

What is the slope of the table?

7

What is the y-intercept of the graph?

7

What is the y-intercept of the table?

7

y = 7x - 13

7x - y = 13 (Write in slope-intercept form)

y = (-8/3)x - 5

8x + 3y = -15 (Write in slope-intercept form)

y = -8x - 5

8x + y = -5 (Write in slope-intercept form)

y = (-9/4)x - 1

9x + 4y = -4 (Write in slope-intercept form)

Type of Slope

Negative

Type of slope

Positive

Vertical Change

Rise

Slope

Rise over Run

Horizontal Change

Run

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

0 Slope

What is the slope of a horizontal line?

Undefined Slope

What is the slope of a vertical line?

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).

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)

In the slope-intercept form, which letter represents slope?

m

y = (-1/5)x + 12/5

x + 5y = 12 (Write in slope-intercept form)

y = (1/3)x + 3

x - 3y = -9 (Write in slope-intercept form)

y = (1/6)x + 2

x - 6y = -12 (Write in slope-intercept form)

To find the y-intercept, plug 0 in for the _________________.

x-coordinate

Which equation represents a line that passes through (2, -1/2) and has a slope of 3?

y + 1/2 = 3(x - 2)

Which equation represents a line that passes through (-9, -3) and has a slope of -6?

y + 3 = -6(x + 9)

What is the equation of the graphed line in point-slope form?

y + 3 = 2 (x + 3)

What is the equation of the graphed line in point-slope form?

y + 6 = 3/4 (x + 4)

Which equation represents a line that passes through (5, 1) and has a slope of 1/2 ?

y - 1 = 1/2(x -5)

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)

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)

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)

Which equation represents a line that passes through (-2, 4) and has a slope of 2/5?

y - 4 = 2/5(x + 2)

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)

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)

What is the equation of the graph in slope intercept form?

y = -3x

What is the equation of the graph in slope intercept form?

y = 3/2x

What is the equation of the graph in slope intercept form?

y = 5/3x -2

What is the slop-intercept form?

y = mx + b

To find the x-intercept, plug 0 in for the __________________.

y-coordinate