## anonymous 5 years ago Indicate in standard form the equation of the line passing through the given point and having the given slope. D(5, -2) m = 2/5

1. anonymous

Start with the point-slope form of a line, then convert to slope intercept. $y-y_0 = m(x-x_0)$ Where $$x_0,y_0$$ is the x,y values of the point and $$m$$ is the slope. Then convert to $$y=mx+b$$ form. $y-y_0 = m(x-x_0)$ $\implies y = mx +(y_0-mx_0)$

2. anonymous

wait so would it be y=2/5x+(-2-(2/5)*5))?

3. anonymous

After you simplify, yes.

4. anonymous

$y=\frac{2}{5}x + (-2-(2/5)*5)$ $=\frac{2}{5}x +(-2-2)$ $=\frac{2}{5}x -4$