write an equation in slope intercept form the line that passes through (-1,2) and (3,4)

Answer 1

(x₁, y₁) (x₂, y₂)

To find slope, m, given two points, (-1, 2) and (3, 4)

m = (y₂ - y₁)/(x₂ - x₁)

Once you have the slope (did you get 1/2?), you're ready to find the y-intercept. Use the slope-intercept equation of a line and either point. I'd choose point #2 since they are positive numbers, but it doesn't matter which point you use.

y = mx + b <-- use x₂ = 4 and y₂ = 3

3 = 1/2(4) + b <-- solve for b

3 = 2 + b

1 = b

Rewrite the slope-intercept equation of a line replacing m = 1/2 and b = 1.

y = mx + b