Question

owen and rose each thought of a linear function. Owen's function is y = 3 4 x + 1, and rose's function is shown in the graph. Which statement is true? a) owen’s function has both a greater slope and a greater y-intercept. B) rose’s function has both a greater slope and a greater y-intercept. C) rose’s function has a greater slope, and owen’s function has a greater y-intercept. D) owen’s function has a greater slope, and rose’s function has a greater y-intercept

Answer 1

For rose

• (0,2)
• (-3,0)

Slope:-

• m=-2/-3=2/3

Equation in point slope form

• y-2=2/3x
• y=2/3x+2

Comapre to y=mx+b

• Slope=2/3
• y intercept=2

For owen

• y=3/4x+1
• Slope=3/4
• y intercept=1

Owen has greater slope but rose has greater y intercept

Answer 2

D) Owen’s function has a greater slope, and Rose’s function has a greater y-intercept

Explanation:

slope-intercept form of linear equation: y = mx + b

(where m is the slope and b is the y-intercept)

Slope = change in y ÷ change in x

y-intercept is where the line crosses the y-axis

Owen: y = (3/4)x + 1

Rose: y = (2/3)x + 2

Owen's function has a greater slope, since 3/4 > 2/3

Rose's function has a greater y-intercept, since 2 > 1