Algebra Examples

y = 5 x - 2

$y = 5 x - 2$

Step 1

Find the x-intercepts.

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Step 1.1

To find the x-intercept(s), substitute in

0

$0$ for

y

$y$ and solve for

x

$x$ .

0 = 5 x - 2

$0 = 5 x - 2$

Step 1.2

Solve the equation.

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Step 1.2.1

Rewrite the equation as

5 x - 2 = 0

$5 x - 2 = 0$ .

5 x - 2 = 0

$5 x - 2 = 0$

Step 1.2.2

Add

2

$2$ to both sides of the equation.

5 x = 2

$5 x = 2$

Step 1.2.3

Divide each term in

5 x = 2

$5 x = 2$ by

5

$5$ and simplify.

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Step 1.2.3.1

Divide each term in

5 x = 2

$5 x = 2$ by

5

$5$ .

\frac{5 x}{5} = \frac{2}{5}

$\frac{5 x}{5} = \frac{2}{5}$

Step 1.2.3.2

Simplify the left side.

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Step 1.2.3.2.1

Cancel the common factor of

5

$5$ .

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Step 1.2.3.2.1.1

Cancel the common factor.

\frac{5 x}{5} = \frac{2}{5}

$\frac{5 x}{5} = \frac{2}{5}$

Step 1.2.3.2.1.2

Divide

x

$x$ by

1

$1$ .

x = \frac{2}{5}

$x = \frac{2}{5}$

x = \frac{2}{5}

$x = \frac{2}{5}$

x = \frac{2}{5}

$x = \frac{2}{5}$

x = \frac{2}{5}

$x = \frac{2}{5}$

x = \frac{2}{5}

$x = \frac{2}{5}$

Step 1.3

x-intercept(s) in point form.

x-intercept(s):

(\frac{2}{5}, 0)

$(\frac{2}{5}, 0)$

x-intercept(s):

(\frac{2}{5}, 0)

$(\frac{2}{5}, 0)$

Step 2

Find the y-intercepts.

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Step 2.1

To find the y-intercept(s), substitute in

0

$0$ for

x

$x$ and solve for

y

$y$ .

y = 5 (0) - 2

$y = 5 (0) - 2$

Step 2.2

Solve the equation.

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Step 2.2.1

Remove parentheses.

y = 5 (0) - 2

$y = 5 (0) - 2$

Step 2.2.2

Simplify

5 (0) - 2

$5 (0) - 2$ .

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Step 2.2.2.1

Multiply

5

$5$ by

0

$0$ .

y = 0 - 2

$y = 0 - 2$

Step 2.2.2.2

Subtract

2

$2$ from

0

$0$ .

y = - 2

$y = - 2$

y = - 2

$y = - 2$

y = - 2

$y = - 2$

Step 2.3

y-intercept(s) in point form.

y-intercept(s):

(0, - 2)

$(0, - 2)$

y-intercept(s):

(0, - 2)

$(0, - 2)$

Step 3

List the intersections.

x-intercept(s):

(\frac{2}{5}, 0)

$(\frac{2}{5}, 0)$

y-intercept(s):

(0, - 2)

$(0, - 2)$

Step 4

y = 5 x - 2

$y = 5 x - 2$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$