Find the x and y Intercepts y=7x-4

$y = 7 x - 4$

Find the x-intercepts.

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

$0 = 7 x - 4$

Solve the equation.

Rewrite the equation as $7 x - 4 = 0$ .

$7 x - 4 = 0$

Add $4$ to both sides of the equation.

$7 x = 4$

Divide each term in $7 x = 4$ by $7$ and simplify.

Divide each term in $7 x = 4$ by $7$ .

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

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

x-intercept(s) in point form.

x-intercept(s): $(\frac{4}{7}, 0)$

Find the y-intercepts.

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

$y = 7 (0) - 4$

Solve the equation.

Remove parentheses.

$y = 7 (0) - 4$

Simplify $7 (0) - 4$ .

Multiply $7$ by $0$ .

$y = 0 - 4$

Subtract $4$ from $0$ .

$y = - 4$

y-intercept(s) in point form.

y-intercept(s): $(0, - 4)$

List the intersections.

x-intercept(s): $(\frac{4}{7}, 0)$

y-intercept(s): $(0, - 4)$