Find the x and y Intercepts 4x+5y=20

$4 x + 5 y = 20$

Step 1

Find the x-intercepts.

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

$4 x + 5 (0) = 20$

Solve the equation.

Simplify $4 x + 5 (0)$ .

Multiply $5$ by $0$ .

$4 x + 0 = 20$

Add $4 x$ and $0$ .

$4 x = 20$

Divide each term in $4 x = 20$ by $4$ and simplify.

Divide each term in $4 x = 20$ by $4$ .

$\frac{4 x}{4} = \frac{20}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{20}{4}$

Divide $x$ by $1$ .

$x = \frac{20}{4}$

Simplify the right side.

Divide $20$ by $4$ .

$x = 5$

x-intercept(s) in point form.

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

Step 2

Find the y-intercepts.

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

$4 (0) + 5 y = 20$

Solve the equation.

Simplify $4 (0) + 5 y$ .

Multiply $4$ by $0$ .

$0 + 5 y = 20$

Add $0$ and $5 y$ .

$5 y = 20$

Divide each term in $5 y = 20$ by $5$ and simplify.

Divide each term in $5 y = 20$ by $5$ .

$\frac{5 y}{5} = \frac{20}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{20}{5}$

Divide $y$ by $1$ .

$y = \frac{20}{5}$

Simplify the right side.

Divide $20$ by $5$ .

$y = 4$

y-intercept(s) in point form.

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

Step 3

List the intersections.

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

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

Step 4

Find the x and y Intercepts 4x+5y=20

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