Graph y=5/8x+4 - MathMaster

$y = \frac{5}{8} x + 4$

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 $y = m x + b$ .

$m = \frac{5}{8}$

$b = 4$

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

Slope: $\frac{5}{8}$

y-intercept: $4$

Slope: $\frac{5}{8}$

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.

$f (0) = \frac{5 (0)}{8} + 4$

Simplify the result.

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Multiply $5$ by $0$ .

$f (0) = \frac{0}{8} + 4$

Divide $0$ by $8$ .

$f (0) = 0 + 4$

Add $0$ and $4$ .

$f (0) = 4$

The final answer is $4$ .

$4$

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

$y = 4$

Choose $1$ to substitute in for $x$ to find the ordered pair.

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Replace the variable $x$ with $1$ in the expression.

$f (1) = \frac{5 (1)}{8} + 4$

Simplify the result.

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Multiply $5$ by $1$ .

$f (1) = \frac{5}{8} + 4$

To write $4$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$f (1) = \frac{5}{8} + 4 \cdot \frac{8}{8}$

Combine $4$ and $\frac{8}{8}$ .

$f (1) = \frac{5}{8} + \frac{4 \cdot 8}{8}$

Combine the numerators over the common denominator.

$f (1) = \frac{5 + 4 \cdot 8}{8}$

Simplify the numerator.

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Multiply $4$ by $8$ .

$f (1) = \frac{5 + 32}{8}$

Add $5$ and $32$ .

$f (1) = \frac{37}{8}$

The final answer is $\frac{37}{8}$ .

$\frac{37}{8}$

The $y$ value at $x = 1$ is $\frac{37}{8}$ .

$y = \frac{37}{8}$

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

$\begin{array}{c} x & y \\ 0 & 4 \\ 1 & \frac{37}{8} \end{array}$

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

Slope: $\frac{5}{8}$

y-intercept: $4$

$\begin{array}{c} x & y \\ 0 & 4 \\ 1 & \frac{37}{8} \end{array}$

Graph y=5/8x+4

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