Point-Slope Form of a Line: Quiz

Which equations and/or functions represent the graphed line? Select three options.

2. f(x)=1/2x+2 4. y-3=1/2(x-2) 5. y-1=1/2(x+2)

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=[_______](x−10)

A. -3,000

What is the slope of the line with equation y-3=-1/2(x-2)?

B. -1/2

Which equation represents a line that passes through (4, 1/3) and has a slope of (3/4)

B. y-1/3=3/4(x-4)

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?

C. (7, 0)

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-y^1 = m(x-x^1) y-3=1/2(x-1) Which of Talia's steps is incorrect?

C. Step 3 is incorrect because it shows an incorrect ratio for the slope.

What is the slope of the line whose equation is y−4=5/2(x-2)

D. 5/2

Which linear function represents the line given by the point-slope equation y + 1 = -3(x - 5)?

D. f(x) = -3x + 14

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

D. y + 3 = -6(x + 9)

Which graph matches the equation y+3=2(x+3)?

Graph one (points (-3, -3) and (0, 3) )