SOLUTION: There exists an equation to the line: y=-5/4x+7 that goes through the x-intercept of the line: -3x-17y=9. What is the equation in slope-intercept form?

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Question 117249: There exists an equation to the line: y=-5/4x+7 that goes through the x-intercept of the line: -3x-17y=9. What is the equation in slope-intercept form?

Answer by misscrt(37) (Show Source):
You can put this solution on YOUR website!
There exists an equation to the line: y=-5/4x+7 that goes through the x-intercept of the line: -3x-17y=9. What is the equation in slope-intercept form?
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Find the x intercept of the equation -3x-17y=9
To find x intercept let y equal 0 and solve for x.
-3x-17(0)=9
-3x -0=9
-3x =9
Divide both sides by -3 to find x.

x=-3
(-3,0) is the x intercept.
Given the first equation of a line, find its slope.
y=-5/4x+7
y=mx+b
so, m=-5/4
Now, use point slope form to write the equation for the line with slope of -5/4, passing through (-3,0)---->(x1,y1).
(y-y1) =m(x-x1)
y-0 = -5/4(x-(-3))
y=-5/4(x+3)

Hope that helps.
Regards,
misscrt