(-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!~