Algebra Examples

$y - \frac{3}{5} x = - 1$

Step 1

Rewrite in slope-intercept form.

Tap for more steps...

Step 1.1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 1.2

Simplify the left side.

Tap for more steps...

Step 1.2.1

Simplify each term.

Tap for more steps...

Step 1.2.1.1

Combine $x$ and $\frac{3}{5}$ .

$y - \frac{x \cdot 3}{5} = - 1$

Step 1.2.1.2

Move $3$ to the left of $x$ .

$y - \frac{3 x}{5} = - 1$

Step 1.3

Add $\frac{3 x}{5}$ to both sides of the equation.

$y = - 1 + \frac{3 x}{5}$

Step 1.4

Write in $y = m x + b$ form.

Tap for more steps...

Step 1.4.1

Reorder $- 1$ and $\frac{3 x}{5}$ .

$y = \frac{3 x}{5} - 1$

Step 1.4.2

Reorder terms.

$y = \frac{3}{5} x - 1$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Step 2.1

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = \frac{3}{5}$

$b = - 1$

Step 2.2

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $\frac{3}{5}$

y-intercept: $(0, - 1)$

Slope: $\frac{3}{5}$

y-intercept: $(0, - 1)$

Step 3