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.

(2,5);y=2x-1

Answer 1

Slope intercept form line equation is y = mx + b. where m = slope and b is y -intercept.

 Step 1. First find the slope of the line.

 The line is parallel to the given line y = 2x -1

Rewrite the equation in slope-intercept form to find the slope m

y=2x-1

slope m = 2

Paralel lines has same slope. So, parallel line equation slope is 2

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 (2,5)

y = 2x -1

5 = 2 × 2 + b

5 = 4  + b

Subtract 4 to each side

5 -4 = 4  + b - 4

 b =1

 Step 3. Write the final line equation

 Replace m =2 and b = 1 in slope-intercept form line equation y = mx + b

 y = 2x +1.