Answer:
y = [tex]-\frac{x}{4}[/tex] + 1[tex]\frac{3}{4}[/tex]
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 = [tex]\frac{1 - 2}{3 - -1}[/tex] = [tex]-\frac{1}{4}[/tex]
Taking another point (x, y) on the line;
Slope is [tex]\frac{y - 2}{x - -1}[/tex] = -[tex]\frac{1}{4}[/tex]
y - 2 = [tex]-\frac{x}{4}[/tex] - [tex]\frac{1}{4}[/tex]
y = [tex]-\frac{x}{4}[/tex] + 1[tex]\frac{3}{4}[/tex] (the equation of the line)
