Question

Can someone explain how to do this...Write an equation of the line that passes through the given point and has the given slope. (3,7) ; slope: 2​

Answer 1

Answer:

An equation of the line passes through the given point (3, 7) and has a slope m = 2 will be:

• $y=2x+1$

Step-by-step explanation:

The equation of a line in point-slope form is

$y-y_1=m\left(x-x_1\right)$

where

m = slope

As the line passes through the given point (3, 7) and has a slope m = 2, so

substituting the values in the point-slope form:

$y-y_1=m\left(x-x_1\right)$

$y-7=2\left(x-3\right)$

Adding 7 to both sides

$y-7+7=2\left(x-3\right)+7$

$y=2x+1$

Therefore, an equation of the line passes through the given point (3, 7) and has a slope m = 2 will be:

• $y=2x+1$