Question

Question 4(Multiple Choice Worth 1 points) (02.04 MC) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1).

Answer 1

Answer:

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

Step-by-step explanation:

The line passes through points (-1, 2) and (3, 1)

Slope of the line = change in y ÷ change in x

i.e slope = $\frac{1 - 2}{3 - -1}$ = $-\frac{1}{4}$

Taking another point (x, y) on the line;

Slope is $\frac{y - 2}{x - -1}$ = -$\frac{1}{4}$

y - 2 = $-\frac{x}{4}$ - $\frac{1}{4}$

y = $-\frac{x}{4}$ + 1$\frac{3}{4}$ (the equation of the line)