Write the Slope Intercept form equation for a line passing

through (4,6) and (8,9)

A

.

y=3/4x + 3

Step-by-step explanation:

Find the slope first. y-y over x-x

Y: 9-6 = 3

X 8-4 = 4

so the slope is 3/4

Now choose one of the ordered pairs to use to substitute to find the y intercept or "b" in y=mx + b

I chose 4,6 since the slope has a 4 in the denominator

Use y=mx + b

Y = 6 from ordered pair m/slope = 3/4 x = 4 from ordered pair and you are looking for b

6 = 3/4 (4) + b

6 = 12/4 or 3 + b subtract 3 from both sides

3 = b

equation is y=3/4x + 3