Question

Find an equation in slope-intercept form of the line passing through ( 3, - 4) with x-intercer equal to 7

Inequalities systems and graphs
ANSWERED
asked 2021-05-27

Find an equation in slope-intercept form of the line passing through \(( 3, - 4)\) with x-intercer equal to 7

Answers (1)

2021-05-28

Use the point-slope form of a line given by: \(y-y1=m(x-x1)\)
Let \((x1,y1)=(3,-4)\ and\ (x2,y2)=(7,0)\), the x-intercept so that the slope is: \(\displaystyle{m}=\frac{{{y}{2}-{y}{1}}}{{{x}{2}-{x}{1}}}=\frac{{{0}-{\left(-{4}\right)}}}{{{7}-{3}}}=\frac{{4}}{{4}}={1}\)
So, the equation is:
\(y-(-4)=1(x-3)\)
\(y+4=x-3\)
\(y=x-7\)

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