Answer:
[tex] y = -\frac{2}{3}x + 1 [/tex]
Step-by-step explanation:
The equation of the line shown can be expressed in the slope-intercept formula as [tex] y = mx + b [/tex]
Let's find m = slope, and b = y-intercept.
Using two points on the line, (0, 1) and (1½, 0),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{\frac{3}{2} - 0} = \frac{-1}{\frac{3}{2}} = - \frac{2}{3} [/tex]
y-intercept, b is where the line intercepts the y-axis = 1.
To create an equation for the line, substitute m = -⅔, b = 1 in [tex] y = mx + b [/tex].
✅The equation would be:
[tex] y = -\frac{2}{3}x + 1 [/tex]
