Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line.
C)
E)

Question

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line. ​  ​
C) ​ 
E) ​

Quizplus · Accepted Answer

The slope-intercept form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept. From the given point (3,-5) and slope -2, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where (x1,y1) is the given point and m is the slope. Substituting the values we get:

y - (-5) = -2(x - 3)

y + 5 = -2x + 6

y = -2x + 1

This is in the slope-intercept form y = mx + b, where m = -2 and b = 1. Therefore, the answer is choice C.

Find the Slope-Intercept Form of the Equation of the Line