Question

value: 1
find the slope between the two points. then identify the line that has parallel slope.
(-1,1) (3,2)
a. y = 1/4x+3
b. y=-4x+2
c. y=x - 4
d. y=-2x+1/4

Explanation:

Step1: Recall slope - formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $(x_1,y_1)=(-1,1)$ and $(x_2,y_2)=(3,2)$.

Step2: Calculate the slope

$m=\frac{2 - 1}{3-(-1)}=\frac{1}{4}$.

Step3: Identify parallel - slope

Parallel lines have the same slope. The equation of a line is in the form $y = mx + b$, where $m$ is the slope. We need to find the line with $m=\frac{1}{4}$.

Answer:

A. $y=\frac{1}{4}x + 3$