Write the equation of the line that passes through the points and slope intercept, point slope and standard form.

(-7,3) and (3,8)

(-7,3) and (3,8)

Find the slope! :)

m = (8 - 3) / (3 + 7)

Simplify.

m = 5/10

m = 1/2

y-intercept is 8!

Slope-intercept form :

y = mx + b

Where m is the slope, and b is the y-intercept.

Simply plug in the values.

y = 1/2x + 8 <=== Slope-intercept form

Point slope form : y - y₁ = m(x - x₁)

Simply plug in the values.

y - 3 = 1/2x - 1/2(-7)

Simplify.

y - 3= 1/2x + 7/2

Add 3 to both sides.

y = 1/2x + 6 1/2 ===> Point-slope Form

Standard Form : ax+by=c

Take the point-slope form, and simply move x to the other side!

Point-slope form : y = 1/2x + 6 1/2

Subtract 1/2x from both sides.

-1/2x + y = 6 1/2  ==> Standard form

~Hope I helped!~