What is the slope intercept form of the line with a slope of -2 −2 that passes through (6,4) (6,4)?

2 Answers
Nallasivam V
Dec 31, 2015

y=16-2xy=16−2x

Explanation:

Slope m=-2m=−2
co-ordinates (6, 4)(6,4)

Slope Intercept of the equation

y-y_1=m(x-x_1)y−y1=m(x−x1)
y-4=-2(x-6)y−4=−2(x−6)
y-4=-2x+12y−4=−2x+12
y=-2x+12+4y=−2x+12+4
y=-2x+16y=−2x+16
y=16-2xy=16−2x

Karthik G
Dec 31, 2015

The slope intercept form of the line is y=mx+by=mx+b where mm is the slope and bb is y-intercept.
The equation of the line is y=-2x+16y=−2x+16
One of the approaches to get the solution is given below.

Explanation:

Slope-intercept form of the line y=mx+by=mx+b
Given slope m=-2m=−2 and a point (6,4)(6,4) which lies on the line.

Plug in the values for mm, xx and yy and solve for bb

4=-2(6)+b4=−2(6)+b
4=-12+b4=−12+b
4+12=b4+12=b
16=b16=b

The equation of the line is y=-2x+16y=−2x+16

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