Question

What would be the slope-intercept function for a line that crosses points (3, -2) &

(1, 4)?

Answer 1

`y=-3x+7`

Explanation:

The slope of the line passing through the points (3,-2) and (1,4) is

`(4-(-2))/(1-3)=(4+2)/(-2)=(6)/(-2)=-3`

Hence, the equation of the line is

`y-(-2)=-3(x-3)`

Rewrite it:

`y+2=-3x+9\\ \\y=-3x+9-2\\ \\y=-3x+7`

The last equation is the slope-intercept equation of linear function.