Find the x and y Intercepts y=5x-3

$y = 5 x - 3$

Step 1

Find the x-intercepts.

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

$0 = 5 x - 3$

Solve the equation.

Rewrite the equation as $5 x - 3 = 0$ .

$5 x - 3 = 0$

Add $3$ to both sides of the equation.

$5 x = 3$

Divide each term in $5 x = 3$ by $5$ and simplify.

Divide each term in $5 x = 3$ by $5$ .

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

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

x-intercept(s) in point form.

x-intercept(s): $(\frac{3}{5}, 0)$

Step 2

Find the y-intercepts.

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

$y = 5 (0) - 3$

Solve the equation.

Remove parentheses.

$y = 5 (0) - 3$

Simplify $5 (0) - 3$ .

Multiply $5$ by $0$ .

$y = 0 - 3$

Subtract $3$ from $0$ .

$y = - 3$

y-intercept(s) in point form.

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

Step 3

List the intersections.

x-intercept(s): $(\frac{3}{5}, 0)$

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

Step 4