Q1.
The slope-intercept form: y = mx + b
m - slope b - y-intercept
We have the slope m = 5 and y-intercept b = -8. Substitute:
Answer: D. y = 5x - 8
Q2.
Choice one point from the graph (look at the picture).
We have the point (2, -1). Put the coordinates of the point to the equations of a line and check the equality.
H. 2x - y = 5
L = 2(2) - (-1) = 4 + 1 = 5
R = 5
L = R CORRECT :)
Answer: H. 2x - y = 5
Q3.
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (2, -5) and (6, 3). Substitute:
[tex]m=\dfrac{3-(-5)}{6-2}=\dfrac{3+5}{4}=\dfrac{8}{4}=2[/tex]
Therefore we have the answers C and D with that the slope.
Put the coordinates of the points to the equations and check the equality:
C. y = 2x + 12
for (2, -5)
L = -5
R = 2(2) + 12 = 4 + 12 = 16
L ≠ R INCORRECT :(
D. y = 2x - 9
for (2, -5)
L = -5
R = 2(2) - 9 = 4 - 9 = -5
L = R CORRECT :)
for (6, 3)
L = 3
R = 2(6) - 9 = 12 - 9 = 3
L = R CORRECT :)
Answer: D. y = 2x - 9
