Question

How do you write the equation of a line in slope intercept, point slope and standard form given (-2,0) and (3,-4)?

Answer 1

Answers are explained below.

Explanation:

Slope of the line joining these two points is `(-4-0)/(3+2) = (-4)/5`

Point slope form is y-0= `(-4)/5 (x+2)`

Solve this equation for y, `y= (-4)/5 x -8/5`. This is the slope intercept form

Simplify the above equation, by eliminating the denominator and bring both variable on left side and the constant on the right side.

So, 4x+ 5y=-8 is the standard form