Answer:
y = -½x + 7
Step-by-step explanation:
To write the equation of the line in slope-intercept form, y = mx + b, find the slope value (m) and the y-intercept value (b).
Using any two points on the line, say (0, 7) and (2, 6):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 7}{2 - 0} = \frac{-1}{2} [/tex]
Slope (m) = -½
y-intercept (b) = 7 (this is where the y-axis is cut across by the line)
To write the equation, substitute m = -½, and b = 7 into y = mx + b.
Thus:
y = -½x + 7
