Graph y-0=5(x-4)

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Trigonometry

Graph y-0=5(x-4)

$y - 0 = 5 (x - 4)$

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 $y = m x + b$ .

$m = 5$

$b = - 20$

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

Slope: $5$

y-intercept: $(0, - 20)$

Slope: $5$

y-intercept: $(0, - 20)$

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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Find the x-intercept.

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To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$0 = 5 x - 20$

Solve the equation.

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Rewrite the equation as $5 x - 20 = 0$ .

$5 x - 20 = 0$

Add $20$ to both sides of the equation.

$5 x = 20$

Divide each term by $5$ and simplify.

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Divide each term in $5 x = 20$ by $5$ .

$\frac{5 x}{5} = \frac{20}{5}$

Cancel the common factor of $5$ .

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Cancel the common factor.

$\frac{5 x}{5} = \frac{20}{5}$

Divide $x$ by $1$ .

$x = \frac{20}{5}$

Divide $20$ by $5$ .

$x = 4$

x-intercept(s) in point form.

x-intercept(s): $(4, 0)$

Find the y-intercept.

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To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$y = 5 (0) - 20$

Solve the equation.

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Remove parentheses.

$y = 5 (0) - 20$

Simplify $5 (0) - 20$ .

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Multiply $5$ by $0$ .

$y = 0 - 20$

Subtract $20$ from $0$ .

$y = - 20$

y-intercept(s) in point form.

y-intercept(s): $(0, - 20)$

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

$\begin{array}{c} x & y \\ 0 & - 20 \\ 4 & 0 \end{array}$

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

Slope: $5$

y-intercept: $(0, - 20)$

$\begin{array}{c} x & y \\ 0 & - 20 \\ 4 & 0 \end{array}$

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