Question

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

3/2
Write an equation in slope-intercept form for this line.​

Answer 1

y=3/2x+2

Explanation:

First, write the knowledge you have in an equation- y=3/2x+b

Second, plug in the points you know and graph 8=3/2(4)+b (I just use desmos and put in what I know, then use the sliders until the point I need is on the line) B=2

Last, write the equation. y=3/2x+2

(Sorry, my original answer had an error. Note that it is important to put the slope in correctly lol)

Answer 2

y = 3/2x +2

Explanation:

We have a slope and a point

We want to use the slope intercept form of the equation

y = mx+b where m is the slope and b is the y intercept

y = 3/2x+b

Substitute the point into the equation to determine b

8 = 3/2(4) +b

8 = 6+b

Subtract 6 from each side

8-6 = b

b =2

The slope intercept form of the equation

y = 3/2x +2