Find the x and y Intercepts y=-4x+6

$y = - 4 x + 6$

Find the x-intercepts.

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

$0 = - 4 x + 6$

Solve the equation.

Rewrite the equation as $- 4 x + 6 = 0$ .

$- 4 x + 6 = 0$

Subtract $6$ from both sides of the equation.

$- 4 x = - 6$

Divide each term in $- 4 x = - 6$ by $- 4$ and simplify.

Divide each term in $- 4 x = - 6$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{- 6}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{- 6}{- 4}$

Divide $x$ by $1$ .

$x = \frac{- 6}{- 4}$

Simplify the right side.

Cancel the common factor of $- 6$ and $- 4$ .

Factor $- 2$ out of $- 6$ .

$x = \frac{- 2 (3)}{- 4}$

Cancel the common factors.

Factor $- 2$ out of $- 4$ .

$x = \frac{- 2 \cdot 3}{- 2 \cdot 2}$

Cancel the common factor.

$x = \frac{- 2 \cdot 3}{- 2 \cdot 2}$

Rewrite the expression.

$x = \frac{3}{2}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{3}{2}, 0)$

Find the y-intercepts.

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

$y = - 4 \cdot 0 + 6$

Solve the equation.

Remove parentheses.

$y = - 4 \cdot 0 + 6$

Simplify $- 4 \cdot 0 + 6$ .

Multiply $- 4$ by $0$ .

$y = 0 + 6$

Add $0$ and $6$ .

$y = 6$

y-intercept(s) in point form.

y-intercept(s): $(0, 6)$

List the intersections.

x-intercept(s): $(\frac{3}{2}, 0)$

y-intercept(s): $(0, 6)$

Find the x and y Intercepts y=-4x+6

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