Question

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

Answer 1

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.
\[y-y_0 = m(x-x_0)\]
\[\implies y = mx +(y_0-mx_0)\]

Answer 2

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

Answer 3

After you simplify, yes.

Answer 4

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