Question

What is the y-intercept of the line with a slope of −14 that passes through the point (−2,−92)?

Enter your answer as a number, like this: 42

Or, if your answer is a fraction, such as 314, enter it like this: 3/14

Answer 1

Using the equation of a line as y -y1 = m(x-x1)

Replace m with the given slope and y1 and x1 with the given point:

y - (-92) = -14(x- (-2))

Simpligy:

y + 92 = -14(x +2)

Simplify the right side:

y +92 = -14x -28

Subtract 92 from each side:

y = -14x-120

The y - intercept is -120