IDNLearn.com: Your one-stop destination for reliable answers to diverse questions. Our experts are ready to provide in-depth answers and practical solutions to any questions you may have.
Answer:
q = -8
Step-by-step explanation:
Given the slope and ordered pairs (7, 1) (4, q)
Use slope = 3 and point (7,1) and substitute into the slope-intercept form y = mx + b and solve b
y = mx +b
1 = 3(7) + b
1 = 21 + b
-20 = b
Now write the equation of the line y = 3x - 20
Substitute (4, q) into y = 3x - 20
q = 3(4) - 20
q = 12 - 20
q = -8
Check: Substitute into the slope formula the two ordered pairs (7, 1) (4, -8)
Slope = (change in the y-values)/(change in the x-values)
Slope = (-8 - 1)/(4 - 7)
Slope = (-9)/(-3)
Slope = 3 √