Find the x and y Intercepts y+5=2(x+1)

$y + 5 = 2 (x + 1)$

Step 1

Find the x-intercepts.

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

$(0) + 5 = 2 (x + 1)$

Solve the equation.

Rewrite the equation as $2 (x + 1) = (0) + 5$ .

$2 (x + 1) = (0) + 5$

Add $0$ and $5$ .

$2 (x + 1) = 5$

Divide each term in $2 (x + 1) = 5$ by $2$ and simplify.

Divide each term in $2 (x + 1) = 5$ by $2$ .

$\frac{2 (x + 1)}{2} = \frac{5}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 (x + 1)}{2} = \frac{5}{2}$

Divide $x + 1$ by $1$ .

$x + 1 = \frac{5}{2}$

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

Subtract $1$ from both sides of the equation.

$x = \frac{5}{2} - 1$

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$x = \frac{5}{2} - 1 \cdot \frac{2}{2}$

Combine $- 1$ and $\frac{2}{2}$ .

$x = \frac{5}{2} + \frac{- 1 \cdot 2}{2}$

Combine the numerators over the common denominator.

$x = \frac{5 - 1 \cdot 2}{2}$

Simplify the numerator.

Multiply $- 1$ by $2$ .

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

Subtract $2$ from $5$ .

$x = \frac{3}{2}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{3}{2}, 0)$

Step 2

Find the y-intercepts.

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

$y + 5 = 2 ((0) + 1)$

Solve the equation.

Simplify $2 ((0) + 1)$ .

Add $0$ and $1$ .

$y + 5 = 2 \cdot 1$

Multiply $2$ by $1$ .

$y + 5 = 2$

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

Subtract $5$ from both sides of the equation.

$y = 2 - 5$

Subtract $5$ from $2$ .

$y = - 3$

y-intercept(s) in point form.

y-intercept(s): $(0, - 3)$

Step 3

List the intersections.

x-intercept(s): $(\frac{3}{2}, 0)$

y-intercept(s): $(0, - 3)$

Step 4

Find the x and y Intercepts y+5=2(x+1)

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