Part 1.
The slope is found by the change in Y over the change in X.
In the picture they are finding the difference between the X and Y of each point. They have x1 - y1 over x2-y2, when it should be y2-y1 / x2 - x1.
Part 2:
Slope = Change in Y over change in X:
(4 - 6) / (0 - -2) = -2 / 2 = -1
Slope = -1
Using the point (0,4) tells you the Y-intercept, which is the Y value when x is 0. The Y intercept is added to the slope when writing the equation of a line in point slope form.
The equation is y = -x +4
Part 3:
Find two points on the line by replacing X with 0 and solving for Y and then replace Y with 0 and solve for X. This gives you the X and Y intercepts. Once you have those two points, put them on a graph and then draw a straight line through both dots.
Answer:
Step-by-step explanation:
To solve this problem, you have to combine like terms of x and b from one side of the equation.
<h3>4x+3(2x+5b)-4b-2x+6</h3>
<u>Combine like terms.</u>
3(2x+5b)+4x-2x-4b+6
<u>Solve.</u>
4x-2x=2x
Rewrite the problem down.
3(2x+5b)+2x-4b+6
Expand the form.
Use a distributive property.
<u>Distributive property:</u>
A(B+C)=AB+AC
3(2x+5b)
<u>Multiply.</u>
3*2x=6x
3*5b=15b
<u>Rewrite the problem.</u>
6x+15b
6x+15b+2x-4b+6
<u>Combine like terms.</u>
6x+2x+15b-4b+6
<u>Add the numbers from left to right.</u>
6x+2x=8x
8x+15b-4b+6
<u>Then, you add again.</u>
15b-4b=11b
<u>= 8x+11b+6</u>
- <u>Therefore, the final answer is 8x+11b+6.</u>
I hope this helps you! Let me know if my answer is wrong or not.
Answer:
Mizuki here to answer! B is the correct answer!
Step-by-step explanation:
1 - 0.4 = 0.6
2.1 x 0.6 = 1.26
Answer:
the statement is false there is no solution
Step-by-step explanation:
step 1 -7(a-3)=11-7a
step 2 -7a+21=11-7a
step 3 cancel out the -7a's
step 4 you are left with 21=11 which does not work so it is false
