Mathematics: Find the equation of a line that has a slope of 2 and passes through the point. point (-7, 5)

Find the equation of a line that has a slope of 2

dlatricewilcoxp0tsdw

16.01.2022

$\large\boxed{y-5=2(x+7)\leftarrow\text{point-slope form}}\\\boxed{y=2x+19\leftarrow\text{slope-intercept form}}$

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - point

We have the slope m = 2 and the point (-7, 5) → x₁ = -7, y₁ = 5.

Substitute:

$y-5=2(x-(-7))\\\\y-5=2(x+7)$

Convert to the slope-intercept form (y = mx + b):

y-5=2(x+7) use distributive property

y-5=2x+14 add 5 to both sides

y=2x+19

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