Question

write the slope - intercept form of the equation with the given point and slope. through (-1,4) and m = -3. y=x + 2. y=x - 3. y=-3x + 1.

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We know $m=-3$, so the equation is $y=-3x + b$.

Step2: Substitute the point into the equation

Substitute $x=-1$ and $y = 4$ into $y=-3x + b$. We get $4=-3\times(-1)+b$.

Step3: Solve for $b$

Simplify the right - hand side: $4 = 3 + b$. Then subtract 3 from both sides: $b=4 - 3=1$.

Step4: Write the final equation

The equation of the line in slope - intercept form is $y=-3x + 1$.

Answer:

$y=-3x + 1$