# How do you graph the line y = -4x + 4?

Jul 23, 2017

See explanation.

#### Explanation:

To graph a line given as $y = a x + b$ you can substitute 2 different values for $x$ to calculate the corresponding values of $y$.

$f \left(0\right) = - 4 \cdot 0 + 4 = 4$

$f \left(1\right) = - 4 \cdot 1 + 4 = 0$

Final step is to draw a line passing through the calculated points: $\left(0 , 4\right)$ and $\left(1 , 0\right)$.

graph{-4x+4 [-10, 10, -5, 5]}

Jul 23, 2017

$\text{see explanation}$

#### Explanation:

$\text{one way is to find the x and y intercepts, that is where}$
$\text{the line crosses the axes}$

• " let x = 0, in the equation for y-intercept"

• " let y = 0, in the equation for x-intercept"

$x = 0 \to y = 0 + 4 = 4 \leftarrow \textcolor{red}{\text{ y-intercept}}$

$y = 0 \to - 4 x + 4 = 0 \to x = 1 \leftarrow \textcolor{red}{\text{ x-intercept}}$

$\text{plot the points "(0,4),(1,0)" and draw a straight line}$
$\text{through them}$
graph{-4x+4 [-10, 10, -5, 5]}