Answer:
-2
Step-by-step explanation:
The slope of a line tells us how y responds to a change in x. If the slope is 2, it means that for every time x increases by 1, will will go up by 2.
We can calculate slope from a line, or with two given points. I used points (0,4) and (3,-2). Slope is the "Rise/Run."
The Rise: (-2 - 4) = -6
The Run: (3 - 0) = 3
Slope = Rise/Run = (-6/3) = -2
Step-by-step explanation:
x = 2 is, as you can see, parallel to the y-axis.
perpendicular to this (= crosses the original line in an angle of 90 degrees) is then a line parallel to the x-axis.
that means y is constant. all points on that line will have the same y value.
and we know one point already : (3, -2)
so all points of the perpendicular line will have y = -2
and that is the equation of the perpendicular line :
y = -2
Answer:
x<8
Step-by-step explanation:
-x>-1-7
-x>-8
Flip signs due to negative
x<8
Interval notation is (-oo,8)
The equivalent system of equations that would guarantee a solution of (3,-1) are
- a. (p+f)x+(q+g)y= r+h and fx+gy=h
- d. px+qy=r and (f-2p)x+(g-2q)y=h-2r
- e. px+qy+r and 5fx+ 5gy = 5h
<h3>How to determine the system of equations?</h3>
The system of equations is given as:
px +qy =r
fx + gy = h
Add both equations
(p + f)x + (q + g)y = r + h
Multiply the second equation by a constant (say 5)
5fx + 5gy = 5h
Multiply the first equation by a constant (say 2)
2px + 2qy = 2r
The combination of any of the above equations to the given equation would guarantee a solution of (3,-1)
Hence, the equivalent system of equations are (a), (d) and (e)
Read more about system of equations at:
brainly.com/question/14323743
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