Question

How do you graph and write a linear equation with m=3/2 and point (1,0)?

Answer 1

Solve for the y intercept, put the y intercept in for b.
Start at b (0,b) for the first point go up 3 and over 2 for the second point and connect the points.

Explanation:

`y = mx +b`
`y = 0`
`x = 1`
`m = 3/2`

`0 = 3/2 xx 1 + b`

`0 = 3/2 + b` subtract - 3/2 from both sides

`0 - 3/2 = 3/2 - 3/2 + b`

`- 3/2 = b`

The first point is ( 0, -3/2)

`- 3/2 + 3 = -3/2 + 6/2 = + 3/2`
`0 + 2 = 2`

The second point is ( 2, + 3/2)

Plot the two points and connect them with a line.

The equation is

`y = 3/2x + -3/2`