What is the y-intercept of the line passing through the point 9.-7) with aslope of -1/8?
Accepted Solution
A:
Answer:-47/8Step-by-step explanation: A line passes through the point [tex](9,-7)[/tex] and has a slope of [tex]\frac{-1}{8}[/tex]. The equation of a line passing through the point [tex](x_{1},y_{1})[/tex] and having slope [tex]m[/tex] is given by [tex]y-y_{1}=m(x-x_{1})[/tex]. For the given line, equation is given by[tex]y-(-7)=\frac{-1}{8}(x-9)[/tex][tex]8(y+7)=-1(x-9)[/tex][tex]x+8y+47=0[/tex][tex]y=\frac{-1}{8}x-\frac{47}{8}[/tex] This is the slope intercept form of the line [tex]y=mx+c[/tex]. Here [tex]c[/tex] denotes the y-intercept.∴ y-intercept = [tex]\frac{-47}{8}[/tex]