Find the x and y Intercepts y=-4x+3

$y = - 4 x + 3$

Step 1

Find the x-intercepts.

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

$0 = - 4 x + 3$

Solve the equation.

Rewrite the equation as $- 4 x + 3 = 0$ .

$- 4 x + 3 = 0$

Subtract $3$ from both sides of the equation.

$- 4 x = - 3$

Divide each term in $- 4 x = - 3$ by $- 4$ and simplify.

Divide each term in $- 4 x = - 3$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{- 3}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{- 3}{- 4}$

Divide $x$ by $1$ .

$x = \frac{- 3}{- 4}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{3}{4}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{3}{4}, 0)$

Step 2

Find the y-intercepts.

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

$y = - 4 \cdot 0 + 3$

Solve the equation.

Remove parentheses.

$y = - 4 \cdot 0 + 3$

Simplify $- 4 \cdot 0 + 3$ .

Multiply $- 4$ by $0$ .

$y = 0 + 3$

Add $0$ and $3$ .

$y = 3$

y-intercept(s) in point form.

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

Step 3

List the intersections.

x-intercept(s): $(\frac{3}{4}, 0)$

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

Step 4