Question

line equations from point/slope (point slope form)
score: 0/5 penalty: 1 off
question
use point - slope form to write the equation of a line that passes through the point (2, 7) with slope - 4.
answer: (write your answer

Explanation:

Step1: Recall Point - Slope Formula

The point - slope form of a linear equation is given by $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope of the line.

Step2: Identify Values

We are given the point $(2,7)$, so $x_1 = 2$ and $y_1=7$. The slope $m=- 4$.

Step3: Substitute Values into Formula

Substitute $x_1 = 2$, $y_1 = 7$ and $m=-4$ into the point - slope formula $y - y_1=m(x - x_1)$.
We get $y - 7=-4(x - 2)$.

Answer:

$y - 7=-4(x - 2)$