Answer:
y = ⁷/5x + 34/5
Or
y = 1.4x + 6.8
Explanation:
To find the equation of the line in the slope-intercept form, y = mx + b, we have to determine the value of:
Slope (m) = change in y/change in x
y-intercept (b) = the y-coordinate of the point where the y-axis is intercepted by the line
Using the two points indicated in the line, (-7, -3) and (-2, 4),
Slope (m) = (4 - (-3))/(-2 - (-7)) = 7/5
m = ⁷/5
To find b, substitute m = ⁷/5 and (x, y) = (-2, 4) into y = mx + b
4 = ⁷/5(-2) + b
4 = -14/5 + b
4 + 14/5 = b
(20 + 14)/5 = b
34/5 = b
b = 34/5
To write the equation, substitute m = ⁷/5 and b = 34/5 into y = mx + b
y = ⁷/5x + 34/5
Or
y = 1.4x + 6.8