Graph 3x-5y=-15 y=4/5x+4

$3 x - 5 y = - 15$ $y = \frac{4}{5} x + 4$

Step 1

Graph $3 x - 5 y = - 15$ .

Solve for $y$ .

Subtract $3 x$ from both sides of the equation.

$- 5 y = - 15 - 3 x$

Divide each term in $- 5 y = - 15 - 3 x$ by $- 5$ and simplify.

Divide each term in $- 5 y = - 15 - 3 x$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{- 15}{- 5} + \frac{- 3 x}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{- 15}{- 5} + \frac{- 3 x}{- 5}$

Divide $y$ by $1$ .

$y = \frac{- 15}{- 5} + \frac{- 3 x}{- 5}$

Simplify the right side.

Simplify each term.

Divide $- 15$ by $- 5$ .

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

Dividing two negative values results in a positive value.

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

Rewrite in slope-intercept form.

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

$y = m x + b$

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

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

Reorder terms.

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

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

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

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

$b = 3$

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: $(0, 3)$

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

y-intercept: $(0, 3)$

Any line can be graphed using two points. Select two $x$ values, and plug them into the equation to find the corresponding $y$ values.

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

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

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

Reorder terms.

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

Create a table of the $x$ and $y$ values.

$\begin{array}{c} x & y \\ 0 & 3 \\ 5 & 6 \end{array}$

Graph the line using the slope and the y-intercept, or the points.

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

y-intercept: $(0, 3)$

$\begin{array}{c} x & y \\ 0 & 3 \\ 5 & 6 \end{array}$

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

y-intercept: $(0, 3)$

$\begin{array}{c} x & y \\ 0 & 3 \\ 5 & 6 \end{array}$

Step 2

Graph $y = \frac{4}{5} x + 4$ .

Rewrite in slope-intercept form.

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

$y = m x + b$

Reorder terms.

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

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

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

$m = \frac{4}{5}$

$b = 4$

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

Slope: $\frac{4}{5}$

y-intercept: $(0, 4)$

Slope: $\frac{4}{5}$

y-intercept: $(0, 4)$

Any line can be graphed using two points. Select two $x$ values, and plug them into the equation to find the corresponding $y$ values.

Reorder terms.

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

Create a table of the $x$ and $y$ values.

$\begin{array}{c} x & y \\ 0 & 4 \\ 5 & 8 \end{array}$

Graph the line using the slope and the y-intercept, or the points.

Slope: $\frac{4}{5}$

y-intercept: $(0, 4)$

$\begin{array}{c} x & y \\ 0 & 4 \\ 5 & 8 \end{array}$

Slope: $\frac{4}{5}$

y-intercept: $(0, 4)$

$\begin{array}{c} x & y \\ 0 & 4 \\ 5 & 8 \end{array}$

Step 3

Plot each graph on the same coordinate system.

$3 x - 5 y = - 15$

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

Step 4

Graph 3x-5y=-15 y=4/5x+4

Related Questions

Support LCMGCF.com by disabling your adblocker.