Answer:
The slopes are different, and the y-intercepts are different.
Step-by-step explanation:
From the graph:
Parallel lines have the same slope.
The lines are not parallel, therefore have the different slopes.
y-intercepts are different (look at the picture)
-1 and -8.
Answer:
The slopes are different, and the y-intercepts are different.
From the system of equations:
The slope-ntercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the equations of a lines in the standard form (Ax + By = C).
Convert ot the slope-intercept form:
[tex]4x+2y=-2[/tex] subtract 4x from both sides
[tex]2y=-4x-2[/tex] divide both sides by 2
[tex]y=-2x-1[/tex]
Therefore we have the slope m = -2, and the y-intercept b = -1.
[tex]x-3y=24[/tex] subtract x from both sides
[tex]-3y=-x+24[/tex] divide both sides by (-3)
[tex]y=\dfrac{1}{3}x-8[/tex]
Therefore we have the slope m = 1/3, and the y-intercept b = -8.
-2 ≠ 1/3 and -1 ≠ -8
The slopes are different, and the y-intercepts are different.
