Find the Equation Using Slope-Intercept Form m=2 , (-3,5)

$m = 2$ ,

$(- 3, 5)$

Step 1

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.

$y = (2) \cdot x + b$

Substitute the value of

$x$ into the equation.

$y = (2) \cdot (- 3) + b$

Substitute the value of

$y$ into the equation.

$5 = (2) \cdot (- 3) + b$

Find the value of

$b$ .

Rewrite the equation as

$(2) \cdot (- 3) + b = 5$ .

$(2) \cdot (- 3) + b = 5$

Multiply

$2$ by

$- 3$ .

$- 6 + b = 5$

Move all terms not containing

$b$ to the right side of the equation.

Add

$6$ to both sides of the equation.

$b = 5 + 6$

Add

$5$ and

$6$ .

$b = 11$

Step 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.

$y = 2 x + 11$

Step 3