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

Answer:

$y=\frac{3}{2}x-3$

Step-by-step 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

$m=\frac{y2-y1}{x2-x1}$

we take

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

substitute the values in the formula

$m=\frac{0+3}{2-0}$

$m=\frac{3}{2}$

step 2

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{3}{2}$

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

substitute

$y=\frac{3}{2}x-3$

The graph in the attached figure

Answer 2

Answer:

C

Step-by-step explanation:

3/2x – 3 = y