Find the Equation Using Slope-Intercept Form m=-2/5 , b=3/4

$m = - \frac{2}{5}$ , $b = \frac{3}{4}$

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.

$y = (- \frac{2}{5}) \cdot x + b$

Step 3

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

$y = (- \frac{2}{5}) \cdot x + \frac{3}{4}$

Step 4

Simplify the slope y-intercept form of the equation.

Remove parentheses.

$y = (- \frac{2}{5}) \cdot x + \frac{3}{4}$

Multiply $- \frac{2}{5}$ by $x$ .

$y = - \frac{2}{5} x + \frac{3}{4}$

Remove parentheses.

$y = (- \frac{2}{5}) \cdot x + \frac{3}{4}$

Simplify each term.

Combine $x$ and $\frac{2}{5}$ .

$y = - \frac{x \cdot 2}{5} + \frac{3}{4}$

Move $2$ to the left of $x$ .

$y = - \frac{2 x}{5} + \frac{3}{4}$

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

$y = - \frac{2}{5} x + \frac{3}{4}$

Step 5