Question

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3). Which equation represents the graphed function? Group of answer choices y=x – 3 2x – 3 = y y=–x + 2 –3x + 2 = y

Answer 1

C

Explanation:

3/2x – 3 = y

Answer 2

`y=(3)/(2)x-3`

Explanation:

we have the points

(0,-3),(2,0) and (4,3)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we take

(0,-3),(2,0)

substitute the values in the formula

`m=(0+3)/(2-0)`

`m=(3)/(2)`

step 2

Find the equation of the line in slope intercept form

`y=mx+b`

we have

`m=(3)/(2)`

`b=-3` -----> the point (0,-3) is the y-intercept

substitute

`y=(3)/(2)x-3`

The graph in the attached figure