Question

Write an equation in point slope form of the line that passes through (-8,2) with a slope of 5

Answer 1

To write the line's equation, use the point slope formula :

↠
`\boldsymbol{\sf{y-y_1=m(x-x_1)}}`

In this formula,

↠
`\bf{y_1}` is the y-coordinate

↠ m is the slope

↠
`\bf{x_1}` is the x-coordinate

Substitute the given values into the formula :

↠
`\boldsymbol{\sf{y-2=5(x-(-8)}}`

We can simplify :

↠
`\boldsymbol{\sf{y-2=5(x+8)}}`

Therefore, the point-slope formula is y - 2 = 5(x + 8).