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

First, you should figure out the equation of the line in slope-intercept form.
You already know the slope m=2/5
Now find the y-intercept by using the point.

Equation for a line in slope-intercept form is y=mx+b. Substitute 5 for x and -2 for y.
-2 = (2/5)(5) + b
Solve for b:
b=-4

So the equation of your line is y = (2/5)x -4

You don't want any fractions, though, because you want the equation in general form. Multiply both sides by 5.
5y=2x-20
Put the x-term and y-term on the same side of the equation by subtracting 2x from each side.
-2x + 5y = -20
Alternatively, you could have 2x - 5y = 20