Question

write an equation from a graph
4.
graph
slope
(-1,4) and (0,0)
x₁y₁ x₂y₂
equation
y = mx + b

Explanation:

Step1: Calculate the slope

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Given points $(-1, 4)$ and $(0, 0)$, substitute $x_1 = -1$, $y_1 = 4$, $x_2 = 0$, $y_2 = 0$ into the formula: $m = \frac{0 - 4}{0 - (-1)} = \frac{-4}{1} = -4$.

Step2: Determine the y-intercept

The y-intercept $b$ is the value of $y$ when $x = 0$. From the point $(0, 0)$, we see that $b = 0$.

Step3: Write the equation

Using the slope-intercept form $y = mx + b$, substitute $m = -4$ and $b = 0$: $y = -4x + 0$, which simplifies to $y = -4x$.

Answer:

$y = -4x$