Find the Equation Using Slope-Intercept Form the slope is 5 passing through (-1,4)

the slope is $5$ passing through $(- 1, 4)$

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.

$y = (5) \cdot x + b$

Substitute the value of $x$ into the equation.

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

Substitute the value of $y$ into the equation.

$4 = (5) \cdot (- 1) + b$

Find the value of $b$ .

Rewrite the equation as $(5) \cdot (- 1) + b = 4$ .

$(5) \cdot (- 1) + b = 4$

Multiply $5$ by $- 1$ .

$- 5 + b = 4$

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

Add $5$ to both sides of the equation.

$b = 4 + 5$

Add $4$ and $5$ .

$b = 9$

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.

$y = 5 x + 9$