Graph y=3/4x+2 5x+4y=-24

$y = \frac{3}{4} x + 2$ $5 x + 4 y = - 24$

Graph $y = \frac{3}{4} x + 2$ .

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.

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

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

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

$m = \frac{3}{4}$

$b = 2$

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

Slope: $\frac{3}{4}$

y-intercept: $(0, 2)$

Slope: $\frac{3}{4}$

y-intercept: $(0, 2)$

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.

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

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

$\begin{array}{c} x & y \\ 0 & 2 \\ 4 & 5 \end{array}$

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

Slope: $\frac{3}{4}$

y-intercept: $(0, 2)$

$\begin{array}{c} x & y \\ 0 & 2 \\ 4 & 5 \end{array}$

Slope: $\frac{3}{4}$

y-intercept: $(0, 2)$

$\begin{array}{c} x & y \\ 0 & 2 \\ 4 & 5 \end{array}$

Graph $5 x + 4 y = - 24$ .

Solve for $y$ .

Subtract $5 x$ from both sides of the equation.

$4 y = - 24 - 5 x$

Divide each term in $4 y = - 24 - 5 x$ by $4$ and simplify.

Divide each term in $4 y = - 24 - 5 x$ by $4$ .

$\frac{4 y}{4} = \frac{- 24}{4} + \frac{- 5 x}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 24}{4} + \frac{- 5 x}{4}$

Divide $y$ by $1$ .

$y = \frac{- 24}{4} + \frac{- 5 x}{4}$

Simplify the right side.

Simplify each term.

Divide $- 24$ by $4$ .

$y = - 6 + \frac{- 5 x}{4}$

Move the negative in front of the fraction.

$y = - 6 - \frac{5 x}{4}$

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 $- 6$ and $- \frac{5 x}{4}$ .

$y = - \frac{5 x}{4} - 6$

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

Reorder terms.

$y = - (\frac{5}{4} x) - 6$

Remove parentheses.

$y = - \frac{5}{4} x - 6$

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

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

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

$b = - 6$

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

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

y-intercept: $(0, - 6)$

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

y-intercept: $(0, - 6)$

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 $- 6$ and $- \frac{5 x}{4}$ .

$y = - \frac{5 x}{4} - 6$

Reorder terms.

$y = - (\frac{5}{4} x) - 6$

Remove parentheses.

$y = - \frac{5}{4} x - 6$

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

$\begin{array}{c} x & y \\ 0 & - 6 \\ 4 & - 11 \end{array}$

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

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

y-intercept: $(0, - 6)$

$\begin{array}{c} x & y \\ 0 & - 6 \\ 4 & - 11 \end{array}$

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

y-intercept: $(0, - 6)$

$\begin{array}{c} x & y \\ 0 & - 6 \\ 4 & - 11 \end{array}$

Plot each graph on the same coordinate system.

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

$5 x + 4 y = - 24$

Graph y=3/4x+2 5x+4y=-24

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