Question

A line passes through the point (4,8) and has a slope of -3/2

Write an equation in Ax+By=C

Answer 1

The answer is

3x + 2y = 28

Explanation:

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

y - y1 = m(x - x1)

where

m is the slope

(x1 , y1) is the point

From the question

slope = -3/2

Point = (4,8)

So the equation of the line is

`y - 8 = - (3)/(2) (x - 4)`

Multiply through by 2

2y - 16 = -3( x - 4)

2y - 16 = - 3x + 12

3x + 2y = 16 + 12

We have the final answer as

3x + 2y = 28

Hope this helps you