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

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

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:
$$y-(-4)=1(x-3)$$
$$y+4=x-3$$
$$y=x-7$$