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

Answer:

$y = -\frac{3}{4}x + 5$

Step-by-step explanation:

Given equation  y = -3/4x  - 5

Step 1 : Find slope.

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

          $therefore, m = \frac{-3}{4}$

Step 2 : Find the equation of the line.

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

            $( y - 2 ) = -\frac{3}{4}( x - 4)\\\\y - 2 = -\frac{3}{4}x + 3\\\\y = -\frac{3}{4}x + 3 + 2\\\\y = -\frac{3}{4}x + 5$