Question

write slope intercept using (0,-3) and (4,1)
y = 1x - 3
y = -1x - 3
y = -1x + 1
y = 1x + 1

Explanation:

Step1: Find the slope (m)

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Using points $(0, -3)$ (let $(x_1, y_1) = (0, -3)$) and $(4, 1)$ (let $(x_2, y_2) = (4, 1)$), we substitute: $m = \frac{1 - (-3)}{4 - 0} = \frac{4}{4} = 1$.

Step2: Find the y-intercept (b)

The slope - intercept form is $y = mx + b$. We know $m = 1$ and we can use the point $(0, -3)$. Substitute $x = 0$, $y = -3$ and $m = 1$ into $y = mx + b$: $-3 = 1(0) + b$, so $b = -3$.

Step3: Write the equation

Substitute $m = 1$ and $b = -3$ into $y = mx + b$, we get $y = 1x - 3$.

Answer:

A. $y = 1x - 3$