# 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?

Algebra ->  -> 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?       Log On

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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? ____________________________________________________________________________ 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