Answer:
[tex] y = -\frac{1}{2}x + 4 [/tex]
Step-by-step explanation:
The equation of the line can be written in slope-intercept form, as y = mx + b.
We need to find the slope (m) and the y-intercept (b) of the line, then plug their values into the slope-intercept equation, to find the equation of the line shown.
y-intercept (b) = the point where the line intercepts the y-axis = 4
Using two points on the line, say, (0, 4) and (2, 3):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 4}{2 - 0} = \frac{-1}{2} = -\frac{1}{2} [/tex]
m = -½.
Substitute m = -½, and b = 4 into y = mx + b.
The equation of the line would be:
[tex] y = -\frac{1}{2}x + 4 [/tex]
