parallel line equation of the line

Question

Write an equation of the line that passes through the
given point and is parallel to the given line.

(-2,8);y=(4/5)x+1

Answer 1

Step 1. First find the slope of the line.

y=(4/5)x+1

slope m =(4/5)

Paralel lines has same slope. So, parallel line equation slope is 4/5

Step 2. Next find the y - intercept.

 y -intercept value (b) value can be found by replacing the x and y coordinate values in the equation with the given point (-2,8)

 y = (4/5)x + b

8 = 4/5 * -2 + b

8 = -8/5  + b

Add 8/5 to each side

 8+8/5 = -8/5 + b+8/5

  b= 8+8/5

 b=48/5

 Step 3. Write the final line equation

 Replace m = 4/5 and b = 48/5 in slope-intercept form line equation y = mx + b

 y = 4/5x + 48/5.