Answer:
Step-by-step explanation:
Write this story as equations:
s = 5j
(s+12) = 2*(j+12)
Then solve:
5j+12 = 2j + 24 => 3j = 12 => j=4, s=5*4=20
Steve is 20, Janis is 4
In 12 years they will be 32 and 16
Answer:
Then the desired equation is y = -2x - 6.
Step-by-step explanation:
As we move from point (-3, 0) to point (0, -6), x increases by 3 and y decreases by 6. Thus, the slope of the line segment connecting these two points is m = rise / run = -6/3 = -2.
Now use the slope-intercept equation of a straight line to determine the y-intercept of this line:
y = mx + b becomes 0 = -2(-3) + b, so that b = -6.
Then the desired equation is y = -2x - 6.
Check: Does (0, -6) satisfy y = -2x - 6? Is -6 = -2(0) - 6 true? YES
2x+8y=-32
8y=-2x-32
y=-1/4x-4
The slope is -1/4, the y-intercept is -4, and I can't graph it for you on here. Type my equation into a graphing calculator and it'll do it for you. (Desmos is a good online graphing calc, and it's free)