Question

A line passes through point (4,-3) and has a slope of 5/4. Write an equation in Ax + By = C

Answer 1

The answer is

5x - 4y = 32

Explanation:

To write an equation of a line using a point and slope use the formula

y - y1 = m(x - x1)

where

m is the slope

(x1 , y1) is the point

So we have

Equation of the line using point (4 , -3) and slope 5/4 is

`y + 3 = (5)/(4) (x - 4)`

Multiply through by 4

4y + 12 = 5(x - 4)

4y + 12 = 5x - 20

5x - 4y = 20 + 12

The final answer is

5x - 4y = 32

Hope this helps you