Question

Write an equation for the line that is parallel to the given line and passes through the given point. y=5x+8; (2,16)

Answer 1

Answer:

The equation for new line is y = 5x + 6.

Step-by-step explanation:

When a line is parallel to the given line, their gradient will be the same. So the gradient for this new equation is :

$y = mx + b$

$y = 5x + 8$

$m = 5$

We have found out that the gradient of new equation is 5, then, you have to substitute the coordinates into the equation to find b :

$y = 5x + b$

$let \: x = 2 \\ let \: y = 16$

$16 = 5(2) + b$

$16 = 10 + b$

$b = 16 - 10$

$b = 6$