Interception with a line

Question

A line that passes through the point (x,y) with a y-intercept of b and a slope of m can be represented by the equation y = mx + b.

Joe drew a line on the coordinate plane that passes through the point (-10,52) and has a slope of -6.5. The y-intercept of the line is .

A) -21

B) -348

C) 328

D) -13

E) 117

Answer 1

The correct choice for the y-intercept will be D) -13

Recall that m represents the slope in the equation (here that is -6.5)

To determine this, you can substitute -10 for x and 52 for y and solve for the y-intercept or b:

y = mx + b

y = -6.5x + b

52 = -6.5 * -10 + b

52 = 65 + b

52 - 65 = 65 + b - 65

-13 = b

The equation of the line will be y = -6.5x - 13