Question

What is the equation in point slope form of the line that passes through the point (-1, -3) and has a slope of 4?

y-1=4(x-3)
or
y+3=4(x+1)

Answer 1

y + 3 = 4(x + 1)

Explanation:

• Point slope form: y - y1 = m(x - x1)

• GIVEN: In this case, (x1, y1) = (-1, -3) and m = 4

When you plug this information into the formula, it becomes:

• y -(-3) = 4(x -(-1))

This means that 1 and 3 are added to x or y because the equation has double negatives. Double negatives make a positive.

• Therefore, y -(-3) = 4(x -(-1)) becomes y + 3 = 4(x + 1)