Mathematics Focused Quiz 9: Graphing Linear Functions

What is the y-intercept of the line 3𝑦−5𝑥 =7?

• 7

• −7

If 𝑦=2𝑥−5, what is the slope of the inverse equation?

• 2

• -2

• 5

What line intersects (𝑎,𝑐) and (2𝑎,𝑐+7)?

• 𝑦=(𝑎)𝑥+7

𝑓(𝑥) has a slope of 2 and passes through (2,6). Find 𝑔(𝑥) that is perpendicular to 𝑓(𝑥) and passes through (2,6)?

• 𝑦=2𝑥+2

• 𝑦=2𝑥−2

If 𝑦=𝑚𝑥−9 and intersects the point (−1,2), find m.

• −4

• 4

• -1

• -11

• 2

Answer explanation

Substitute the point into the equation and solve. 2=−𝑚−9 → 𝑚=−11.

What is the y-intercept of the equation 𝑎𝑥+𝑏𝑦=𝑐?

Find 𝑓(𝑥) if 𝑓(3)=−5 and 𝑓(9)=7.

• 𝑦=2𝑥−11

• 𝑦=2𝑥−1

If 𝑦=𝑚𝑥−7 and intersects the point (5,−3), what is m?

• -2

• -4

What line intersects (4,6) and (5,6)?

• 𝑥=6

• 𝑦=1−𝑥

• 𝑦=𝑥+1

• 𝑦=𝑥+2

• 𝑦=6

If 𝑦=−3𝑥−5, find a perpendicular equation that intersects the origin.

• 𝑦=3𝑥