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

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

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Layton
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