Question

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

(-3, 5) and (-2, -6)

Answer 1

11x+y = -28

Explanation:

We have two points so we can find the slope

m = (y2-y2)/(x2-x1)

= (-6-5)/ (-2--3)

= -11(-2+3)

= -11/1

The slope is -11

We can use point slope to make an equation

y-y1 = m (x-x1)

y-5 = -11(x--3)

y -5 = -11(x+3)

Distribute

y-5 = -11x-33

Add 5 to each side

y-5+5 = -11x-33+5

y = -11x-28

Add 11x to each side

11x+y = -11x+11x-28

11x+y = -28

This is the standard form of a line