Question

Y-6=4(x+5) what is y and x intercept?

Answer 1

Answer:

x = $(-\frac{13}{2} ,0)$ y = (0,26)

Step-by-step explanation:

First find the x intercept

To find the x intercept, substitute 0 for y and solve for x.

$(0)-6=4(x+5)$

Rewrite the equation as $4(x+5)=(0)-6$

$4(x+5)=(0)-6$

Subtract 6 from 0.

$4(x+5)=-6$

Divide each term in $4(x+5)=-6$ by 4.

$\frac{4(x+5)}{4} =\frac{-6}{4}$

Cancel the common factor of 4.

$x+5=\frac{-6}{4}$

Simplify $\frac{-6}{4}$

$x+5=-\frac{3}{2}$

Subtract 5 from both sides of the equation.

$x=-\frac{3}{2} -5$

To write $-5$ as a fraction with a common denominator, multiply by $\frac{2}{2}$

$x=-\frac{3}{2}-5$ · $\frac{2}{2}$

Combine $-5$ and $\frac{2}{2}$.

$x=-\frac{3}{2} +\frac{-5*2}{2}$

Combine the numerators over the common denominator.

$x=\frac{-3-5*2}{2}$

Simplify the numerator.

$x=\frac{-13}{2}$

Move the negative in front of the fraction.

$x=-\frac{13}{2}$

x = $(-\frac{13}{2} ,0)$

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Find the y-intercepts.

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

$y-6=4((0)+5)$

Add 0 and 5.

$y-6=4 *5$

Multiply 4 by 5.

$y-6=20$

Add 6 to both sides of the equation.

$y=20+6$

Add 20 and 6.

$y=26$

y = (0, 26)