Answer:
Step-by-step explanation:
If a line is parallel to another it must have the same slope
The slope/intercept form of a line is y = mx + b where m is the slope and b the y intercept
The line y = 2x + 5 has slope 2
So the slope of the line that passes through (2,3) must also have the slope 2
We have
y = 2x + b; Substituting x =2, y =3 in this equation gives us
3 = 2 (2) + b or b = -1
Hence the equation of the line is
y = 2x -1
Cross-check
Substitute for x = 2 ==> y = 2(2) - 1 = 3 which is consistent
Answer:
-8
Step-by-step explanation:
you need to rewrite it in y=mx+b form where b-is the y-intercept
y-4= -3(x+4)
distribute
y-4 = -3x-12
isolate y
y= -3x-8
compare this with the y=mx+b so y-intercept is -8
Answer:
T= (9)($.25) + $6.75
Step-by-step explanation:
total cost = 9($.25) + $6.75
Answer :Hans
Here is an informal argument. Since Franz and Hans run
faster than they walk, Hans will go farther in the time that he runs
than in the equal time that he walks. Therefore he covers more
distance at a run than Franz does, since Fred covers equal distances
running and walking.
While both are walking or both are running, they will cover equal
distances. Therefore subtract this distance from the total distance.
The remaining distance is covered by Franz at a walk and by Hans at a
run, so Hans will finish first.
Answer:
y=-1
Step-by-step explanation:
5y+9=2(y+3)
5y+9=2y+6
5y-2y=6-9
3y=-3
y=-3/3
y=-1
