Question

Find the slope and y-intercept of the line that is parallel to y=−1/3x +5 and passes through the point (8,5)

Answer 1

Slope is -1/3 and y-intercept is 23/3

Explanation:

Parallel lines share the same exact slope. This means that the line parallel to the equation y= -1/3x + 5 will have the same slope as it. Its slope is -1/3.

To find the y-intercept of the parallel line, substitute the slope -1/3 and the point (8,5) into the point slope form
`y-y_1 = m(x-x_1)`.

`y-y_1 =m(x-x_1)\\y-5=-(1)/(3)(x-8)\\y-5=-(1)/(3)x + (8)/(3)\\y=-(1)/(3)x +(23)/(3)`

The y-intercept is 23/3.