#### Find the equation of the line when the slope and one point is given.

Find the equation of the line with slope \frac{-2}{3} passing through the point (3, 6).

Anonymous

0

Find the equation of the line with slope \frac{-2}{3} passing through the point (3, 6).

Sangeetha Pulapaka

1

Step 1: Recall the slope of a line

https://www.qalaxia.com/viewDiscussion?messageId=5cf787979e3a0f0d31ee8d3a

Step 2 : Recall the slope-intercept form of a linear equation

https://www.qalaxia.com/viewDiscussion?messageId=5d00a6b9323bea6f3ee593b7

Step 3 : Recall the y-intercept of a line

http://www.math.com/school/subject2/lessons/S2U4L2GL.html

Step 4 Find the value of b by plugging in the given slope and the points (x,y)

in the slope-intercept form y = mx + b

Substituting m = \frac{-2}{3} , x = 3, y = 6 in the equation y = mx+b

we get

6 = \frac{-2}{3} \times 3 +b

b = 6 + 2 = 8

Step 5: Substitute the slope and the y-intercept 'b' to write the equation of the line

Substituting m = \frac{-2}{3} and b = 8 in y = mx+b

y = \frac{-2}{3}x +8