Question

A line has a slope of -2/3 and a y-intercept of (0, 3). What is the value of y when x = 4?

Answer 1

recall the slope-intercept form.

ahemmm so, we know the slope, and we also know the y-intercept, thus the equation of that line is


`\bf y=\stackrel{slope}{-\cfrac{2}{3}}x\stackrel{y-intercept}{+3} \\\\\\ \textit{when x = 4, what is \underline{y}?}\qquad y=-\cfrac{2}{3}(4)+3\implies y=-\cfrac{8}{3}+3 \\\\\\ y=\cfrac{-8+9}{3}\implies y=\cfrac{1}{3}`