Question

A line with a slope of –36/37 passes through the point (37, –36). What is its equation in slope-intercept form?

Answer 1

The answer is

`y = - (36)/(37) x \\`

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 (37, –36) and the slope is - 36/37

The equation of the line is

`y + 36 = - (36)/(37) (x - 37) \\ y + 36 = - (36)/(37) x + 36 \\ y = - (36)/(37) x + 36 - 36`

We have the final answer as

`y = - (36)/(37) x \\`

Hope this helps you