Question

Write the slope intercept form of the equation of each line.

1) The line through the point (4,2) and parallel to y+ -3/4x-5

Answer 1

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

Explanation:

Given equation y = -3/4x - 5

Step 1 : Find slope.

Since the lines are parallel to each other, the slopes are same.

`therefore, m = (-3)/(4)`

Step 2 : Find the equation of the line.

`( y - y_1) = m ( x - x_ 1) \ \ \ where \ x_ 1 = 4 \ and \ y_ 1 = 2`

`( y - 2 ) = -(3)/(4)( x - 4)\\\\y - 2 = -(3)/(4)x + 3\\\\y = -(3)/(4)x + 3 + 2\\\\y = -(3)/(4)x + 5`