Find the Equation Using Slope-Intercept Form slope 7 that passes through (-1,-5)

slope $7$ that passes through $(- 1, - 5)$

Find the value of $b$ using the formula for the equation of a line.

Use the formula for the equation of a line to find $b$ .

$y = m x + b$

Substitute the value of $m$ into the equation.

$y = (7) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (7) \cdot (- 1) + b$

Substitute the value of $y$ into the equation.

$- 5 = (7) \cdot (- 1) + b$

Find the value of $b$ .

Rewrite the equation as $(7) \cdot (- 1) + b = - 5$ .

$(7) \cdot (- 1) + b = - 5$

Multiply $7$ by $- 1$ .

$- 7 + b = - 5$

Move all terms not containing $b$ to the right side of the equation.

Add $7$ to both sides of the equation.

$b = - 5 + 7$

Add $- 5$ and $7$ .

$b = 2$

Now that the values of $m$ (slope) and $b$ (y-intercept) are known, substitute them into $y = m x + b$ to find the equation of the line.

$y = 7 x + 2$