Graph y=-5/2x-4 - MathMaster

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

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

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

$y = m x + b$

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

$m = - \frac{5}{2}$

$b = - 4$

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

Slope: $- \frac{5}{2}$

y-intercept: $- 4$

Slope: $- \frac{5}{2}$

y-intercept: $- 4$

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

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Choose $0$ to substitute in for $x$ to find the ordered pair.

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Replace the variable $x$ with $0$ in the expression.

$f (0) = - \frac{5 (0)}{2} - 4$

Simplify the result.

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Simplify each term.

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Cancel the common factor of $0$ and $2$ .

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Factor $2$ out of $5 (0)$ .

$f (0) = - \frac{2 (5 \cdot (0))}{2} - 4$

Cancel the common factors.

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Factor $2$ out of $2$ .

$f (0) = - \frac{2 (5 \cdot (0))}{2 (1)} - 4$

Cancel the common factor.

$f (0) = - \frac{2 (5 \cdot (0))}{2 \cdot 1} - 4$

Rewrite the expression.

$f (0) = - \frac{5 \cdot (0)}{1} - 4$

Divide $5 \cdot (0)$ by $1$ .

$f (0) = - (5 \cdot (0)) - 4$

Multiply $5$ by $0$ .

$f (0) = - 0 - 4$

Multiply $- 1$ by $0$ .

$f (0) = 0 - 4$

Subtract $4$ from $0$ .

$f (0) = - 4$

The final answer is $- 4$ .

$- 4$

The $y$ value at $x = 0$ is $- 4$ .

$y = - 4$

Choose $2$ to substitute in for $x$ to find the ordered pair.

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Replace the variable $x$ with $2$ in the expression.

$f (2) = - \frac{5 (2)}{2} - 4$

Simplify the result.

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Simplify each term.

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Cancel the common factor of $2$ .

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Cancel the common factor.

$f (2) = - \frac{5 \cdot 2}{2} - 4$

Divide $5$ by $1$ .

$f (2) = - 1 \cdot 5 - 4$

Multiply $- 1$ by $5$ .

$f (2) = - 5 - 4$

Subtract $4$ from $- 5$ .

$f (2) = - 9$

The final answer is $- 9$ .

$- 9$

The $y$ value at $x = 2$ is $- 9$ .

$y = - 9$

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

$\begin{array}{c} x & y \\ 0 & - 4 \\ 2 & - 9 \end{array}$

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

Slope: $- \frac{5}{2}$

y-intercept: $- 4$

$\begin{array}{c} x & y \\ 0 & - 4 \\ 2 & - 9 \end{array}$

Graph y=-5/2x-4

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