Which equation describes the line through the points (4,-3) and (5,0)

y = 3x - 15

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (4, - 3) and (x₂, y₂ ) = (5, 0)

m = = 3 , thus

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (5, 0 ), then

0 = 15 + c ⇒ c = 0 - 15 = - 15

y = 3x - 15 ← equation of line

Maura runs faster.

Step-by-step explanation:

Step 1 ) Convert 1.25 hours to minutes = 75 min; this is important!

Step 2) 75 divided by 5; will tell you how much time it took Maura to run per mile. It took Maura 15 minutes to run per mile.

Step 3) 50 divide by 3; will tell you how much time it took Ava to run per mile.

It took Ava 16.6 minutes to run per mile.

In conclusion Maura runs faster.

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