Find the Equation Using Slope-Intercept Form m=-4/7 , b=5/7

$m = - \frac{4}{7}$ , $b = \frac{5}{7}$

Step 1

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

$y = m x + b$

Step 2

Replace the known value of $m$ in the slope y-intercept form of the equation.

$y = (- \frac{4}{7}) \cdot x + b$

Step 3

Replace the known value of $b$ in the slope y-intercept form of the equation.

$y = (- \frac{4}{7}) \cdot x + \frac{5}{7}$

Step 4

Simplify the slope y-intercept form of the equation.

Remove parentheses.

$y = (- \frac{4}{7}) \cdot x + \frac{5}{7}$

Multiply $- \frac{4}{7}$ by $x$ .

$y = - \frac{4}{7} x + \frac{5}{7}$

Remove parentheses.

$y = (- \frac{4}{7}) \cdot x + \frac{5}{7}$

Simplify each term.

Combine $x$ and $\frac{4}{7}$ .

$y = - \frac{x \cdot 4}{7} + \frac{5}{7}$

Move $4$ to the left of $x$ .

$y = - \frac{4 x}{7} + \frac{5}{7}$

Rewrite the equation in $y = m x + b$ form.

$y = - \frac{4}{7} x + \frac{5}{7}$

Step 5