SOLUTION: Find an equation of a line that passes through (-4,1) and (-2,-3) Express in slope-intercept form

Algebra ->  Functions -> SOLUTION: Find an equation of a line that passes through (-4,1) and (-2,-3) Express in slope-intercept form      Log On


   



Question 979751: Find an equation of a line that passes through (-4,1) and (-2,-3)
Express in slope-intercept form

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: Find the equation of line going through points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (-4, 1) and (x2, y2) = (-2, -3).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%28-3-1%29%2F%28-2--4%29+=+-2.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or -2%2A-4+%2Bb+=+-7. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=1--2%2A-4+=+-7.

y=(-2)x + (-7)

Your graph:




so, your line is y=-2x+-7