Question

Write a linear equation in slope-intercept form If slope= 4/3; passes through (-5,-6)

Answer 1

The answer is

`y = (4)/(3) x + (2)/(3) \\`

Explanation:

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

`y - y_1 = m(x - x_1)`

where

m is the slope

( x1 , y1) is the point

From the question the point is (-5,-6) and the slope is 4/3

The equation of the line is

`y + 6 = (4)/(3) (x + 5) \\ y + 6 = (4)/(3) x + (20)/(3) \\ y = (4)/(3) x + (20)/(3) - 6`

We have the final answer as

`y = (4)/(3) x + (2)/(3) \\`

Hope this helps you