A line passes through (4, –9) and (7, –2).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.

Question

A line passes through (4, –9) and (7, –2).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.

anonymous · Answer

Equate the slope of each line that passes through the problem points.
Solve the following for y:$$\frac{y+9}{x-4}=\frac{y+2}{x-7}$$$$y=\frac{7 x}{3}-\frac{55}{3} $$

anonymous · Answer

Standard Form:$$y=\frac{7 x}{3}-\frac{55}{3} $$$$y-\frac{7 x}{3}\text{=}-\frac{55}{3}$$$$3\left(y-\frac{7 x}{3}\right)\text{ = }\left(-\frac{55}{3}\right)3$$$$3 y-7 x\text{ =}-55$$