Algebra Examples

$y + 15 = x + 6$

Step 1

Find the x-intercepts.

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Step 1.1

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

$(0) + 15 = x + 6$

Step 1.2

Solve the equation.

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Step 1.2.1

Rewrite the equation as $x + 6 = (0) + 15$ .

$x + 6 = (0) + 15$

Step 1.2.2

Add $0$ and $15$ .

$x + 6 = 15$

Step 1.2.3

Move all terms not containing $x$ to the right side of the equation.

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Step 1.2.3.1

Subtract $6$ from both sides of the equation.

$x = 15 - 6$

Step 1.2.3.2

Subtract $6$ from $15$ .

$x = 9$

Step 1.3

x-intercept(s) in point form.

x-intercept(s): $(9, 0)$

Step 2

Find the y-intercepts.

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Step 2.1

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

$y + 15 = (0) + 6$

Step 2.2

Solve the equation.

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Step 2.2.1

Add $0$ and $6$ .

$y + 15 = 6$

Step 2.2.2

Move all terms not containing $y$ to the right side of the equation.

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Step 2.2.2.1

Subtract $15$ from both sides of the equation.

$y = 6 - 15$

Step 2.2.2.2

Subtract $15$ from $6$ .

$y = - 9$

Step 2.3

y-intercept(s) in point form.

y-intercept(s): $(0, - 9)$

Step 3

List the intersections.

x-intercept(s): $(9, 0)$

y-intercept(s): $(0, - 9)$

Step 4