Answer:
m =-6
Step-by-step explanation:
To solve for the unknown variable, m, we have to get m by itself. Perform the opposite of what is being done to the equation.
-8m-9=39
9 is being subtracted from-8m, so add 9 to both sides. Addition is the opposite of subtraction.
-8m-9+9=39+9
-8m=39+9
-8m=48
-8 and m are being multiplied. Divide both sides by -8, because division is the opposite of multiplication
-8m/-8=48/-8
m=48/-8
m= -6
You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing: Taking two points and finding the slope of the line that goes through them.
In every case, the procedure is the same.
If the two points are (x₁ , y₁) and (x₂ , y₂) , then
the slope of the line that goes through them is
Slope = (y₂ - y₁) / (x₂ - x₁) .
This is important, and you should memorize it.
#1). (8, 10) and (-7, 14)
Slope = (14 - 10) / (-7 - 8) = 4 / -15
#2). (-3, 1) and (-17, 2)
Slope = (2 - 1) / (-17 - -3) = (2 - 1) / (-17 + 3) = 1 / -14
#3). (-20, -4) and (-12, -10)
Slope = [ -10 - (-4) ] / [ -12 - (-20) ]
=========================================
The word problem:
This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?
A "proportional relationship" always passes through the origin,
so another point on the line is (0, 0) .
Now you have two points on THAT line too, and you can easily
find its slope.
All the relevant transformations are as shown in the explanations below.
<h3>How to Interpret Transformations?</h3>
We are given the original function as y = x and told the transformation is as follows;
1) y = x + 5; This means that the function was shifted 5 units to the left.
2) y = ³/₈x; This means that the function was vertically stretched by a scale factor of ³/₈.
3) y = -x - 2 or y = -(x + 2); This means that the function was first shifted by 2 units to the left before being reflected over the x-axis.
4) y = 6x + 1; This means that the function was stretched by a factor of 6 and then shifted 1 unit to the left.
5) y = x - 11; This means that the function was shifted 11 units to the right.
6) y = 8x; This means that the function was vertically stretched by a scale factor of 8.
7) y = -1/3x; This means that the function was horizontally stretched by a scale factor of 1/3.
Read more about Transformations at; brainly.com/question/4289712
#SPJ1
7-3y=22
-7 -7
-3y=15
Divide by -3. y=-5
Answer:
Midpoint (4|7)
Step-by-step explanation:
A(2,6) and B(6,8)
at first add the x values and divide it by two
(2+6)/2=4
second, add the y values and divide it by two
(6+8)/2=7
Midpoint (4|7)
-> and you can see it it is exactly in the middle of line segment
