Question

A line passes through the point (8,9) and has a slope of 3/4

Answer 1

Answer: $y=\frac{3}{4}x+3$

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Since we are given slope, we can plug that into m, and use the given point to find the y-intercept.

$y=\frac{3}{4}x+b$          [plug in (8,9)]

$9=\frac{3}{4}(8)+b$       [multiply]

$9=6+b$            [subtract both sides by 6]

$b=3$

Now that we have b, we can complete the equation to $y=\frac{3}{4}x+3$.