The third one down is the correct answer. (-55 and 1)
Given:
The given system of equations is:


To find:
The solution to this system of equations by graphing.
Solution:
We have,


The table of values for first equation is:
x y
0 1
1 -1
Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.
The table of values for second equation is:
x y
0 -4
2 -3
Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.
The graphs of given equations are shown in the below figure.
From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).
Therefore, the solution to this system of equations is:
x-coordinate: 2
y-coordinate: -3
I’m assuming you are talking about number four. If you look at the line it provides you, the slope is -.5 and the intercept is zero. So all you have to do is rewrite the equation but subtract four from the right side and it will be parallel.
Answer:
Step-by-step explanation:
For the given piecewise function,
Let the equation of the segment AB is,
y = ax + 7 where x < -2
Since a point (-2, 3) lies on the given line,
3 = a(-2) + 7
3 - 7 = -2a
a = 2
Therefore, f(x) = 2x + 7 when x < -2
For the segment BC,
f(x) = 3 where -2 ≤ x ≤ 2
For the segment CD,
f(x) = bx + 9
Since a point (2, 3) lies on this segment,
f(2) = 2b + 9 = 3
2b = 3 - 9
b = -3
Therefore, equation of segment CD will be,
f(x) = (-3)x + 9 where x > 2
Answer:
Try 250 = 70x + 50, or y = 70x + 50.
Step-by-step explanation:
He made 250 total. The variable is how many cars he washes. The y-intercept is 50. Therefore, either 250 = 70x + 50, or y = 70x + 50.