R. Point-Slope Form of a Line (problems with answers)

Ace your homework & exams now with Quizwiz!

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.

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)

What is the slope of the line?

5/2

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 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)

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

y - 4 = 2/5(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)

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 slope of the line?

-1/2

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)

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)

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 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).


Related study sets

Abnormal Psychology 10e Midterm (TIU)

View Set

Nurse226 test 3 Week 9 chp 21 pages 729-740,

View Set

Economics topic 2 lesson 1-3 test

View Set

Terms relating to "American democracy has overcome big stress tests since the 2020 election."

View Set

Maternal Infant practice questions for ATI CMS

View Set

Spelling test 4 C Medication for Eyes

View Set