Find the x and y Intercepts y=2x-5

$y = 2 x - 5$

Step 1

Find the x-intercepts.

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

$0 = 2 x - 5$

Solve the equation.

Rewrite the equation as $2 x - 5 = 0$ .

$2 x - 5 = 0$

Add $5$ to both sides of the equation.

$2 x = 5$

Divide each term in $2 x = 5$ by $2$ and simplify.

Divide each term in $2 x = 5$ by $2$ .

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

x-intercept(s) in point form.

x-intercept(s): $(\frac{5}{2}, 0)$

Step 2

Find the y-intercepts.

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

$y = 2 (0) - 5$

Solve the equation.

Remove parentheses.

$y = 2 (0) - 5$

Simplify $2 (0) - 5$ .

Multiply $2$ by $0$ .

$y = 0 - 5$

Subtract $5$ from $0$ .

$y = - 5$

y-intercept(s) in point form.

y-intercept(s): $(0, - 5)$

Step 3

List the intersections.

x-intercept(s): $(\frac{5}{2}, 0)$

y-intercept(s): $(0, - 5)$

Step 4