Answer:
3. y = -3x + 2
4. y = 3x - 5
Step-by-step explanation:
Slope-intercept form equation is given as y = mx + b.
3. First, using two points on the line, (0, 2) and (1, -1), find the slope (m).
Slope (m) = change in y / change in x = (-1 - 2)/(1 - 0) = -3/1
m = -3
Find the y-intercept (b):
The y-intercept (b) = 2 (this is where the line intercepts the y-axis)
b = 2
✅To write the equation, substitute m = -3 and b = 2 into y = mx + b
Thus:
y = -3x + 2
4. Using two points on the line, (2, 1) and (0, -5), find the slope (m).
Slope (m) = change in y / change in x = (-5 - 1)/(0 - 2) = -6/-2 = 3
m = 3
Find the y-intercept (b):
The y-intercept (b) = -5 (this is where the line intercepts the y-axis)
b = -5
✅To write the equation, substitute m = 3 and b = -5 into y = mx + b
Thus:
y = 3x + (-5)
y = 3x - 5
