Write the slope-intercept form of the equation for the line passing through the given pair of points.
-(5, 3) and (- 7, - 2)
A) y =(5/12) X + 11/12
B) y =(-2/5) X - (24/5)
C) y = (-5/12) X + 11/12
D) y =(2/5) X - 24/5

Question

Quizplus · Accepted Answer

The slope of the line passing through the points (5, 3) and (-7, -2) is:m = (y2 - y1) / (x2 - x1)= (-2 - 3) / (-7 - 5)= -5 / -12= 5/12The y-intercept of the line is:b = y - mx= 3 - (5/12)(5)= 3 - 25/12= 11/12Therefore, the slope-intercept form of the equation for the line is:y = mx + by = (5/12)x + 11/12

Write the Slope-Intercept Form of the Equation for the Line