Find the x and y Intercepts y=(3x)/4-7

$y = \frac{3 x}{4} - 7$

Find the x-intercepts.

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

$0 = \frac{3 x}{4} - 7$

Solve the equation.

Rewrite the equation as $\frac{3 x}{4} - 7 = 0$ .

$\frac{3 x}{4} - 7 = 0$

Add $7$ to both sides of the equation.

$\frac{3 x}{4} = 7$

Multiply both sides of the equation by $\frac{4}{3}$ .

$\frac{4}{3} \cdot \frac{3 x}{4} = \frac{4}{3} \cdot 7$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{4}{3} \cdot \frac{3 x}{4}$ .

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{3} \cdot \frac{3 x}{4} = \frac{4}{3} \cdot 7$

Rewrite the expression.

$\frac{1}{3} (3 x) = \frac{4}{3} \cdot 7$

Cancel the common factor of $3$ .

Factor $3$ out of $3 x$ .

$\frac{1}{3} (3 (x)) = \frac{4}{3} \cdot 7$

Cancel the common factor.

$\frac{1}{3} (3 x) = \frac{4}{3} \cdot 7$

Rewrite the expression.

$x = \frac{4}{3} \cdot 7$

Simplify the right side.

Multiply $\frac{4}{3} \cdot 7$ .

Combine $\frac{4}{3}$ and $7$ .

$x = \frac{4 \cdot 7}{3}$

Multiply $4$ by $7$ .

$x = \frac{28}{3}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{28}{3}, 0)$

Find the y-intercepts.

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

$y = \frac{3 (0)}{4} - 7$

Solve the equation.

Remove parentheses.

$y = \frac{3 (0)}{4} - 7$

Simplify $\frac{3 (0)}{4} - 7$ .

Multiply $3$ by $0$ .

$y = \frac{0}{4} - 7$

Divide $0$ by $4$ .

$y = 0 - 7$

Subtract $7$ from $0$ .

$y = - 7$

y-intercept(s) in point form.

y-intercept(s): $(0, - 7)$

List the intersections.

x-intercept(s): $(\frac{28}{3}, 0)$

y-intercept(s): $(0, - 7)$

Find the x and y Intercepts y=(3x)/4-7

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