Answer:
3/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-7)/(-6-(-4))
m=-3/(-6+4)
m=-3/-2
m=3/2
Answer:
y = -2x - 6
Step-by-step explanation:
We know that the slopes of the lines are equal when the lines are parallel to each other.
So, the equation of the given line is<u> y = -2x + 2.</u>
Here,
y = mx + c
y = -2x + 2
slope ⇒ m ⇒ -2
Therefore, the slope of the new line will be ( - 2 ).
<u>And now we have to find the y-intercept ( c ).</u>
For that let us use the given coordinate.
( -6 , 6 ) ⇒ ( x , y )
To find the y-intercept we have to make c the subject of the equation y mx + c.
Also, we have to replace m with ( - 2 ) as the slope of the new line is -2.
<u>Let us solve it now.</u>
y = m x + c
6 = -2 × -6 + c
6 = 12 + c
6 - 12 = c
-6 = c
Now we have found that,
m ⇒ - 2
c ⇒ -6
<u>And now let us write the equation of the line.</u>
y = m x + c
<u>y = -2x - 6</u>
Answer:
All real numbers are solution for the inequality.
Step-by-step explanation:
Given expression:
Solving the inequality.
Using the distribution.
Adding 
to both sides.
We have,
The above statement is always true and thus the inequality has all real number solutions.
The number line graph for the inequality can be shown.
Answer:
x = 11/10
Step-by-step explanation:
5(2x - 1) = 6
Distribute
10x -5 = 6
Add 5 to each side
10x-5+5 = 6+5
10x = 11
Divide each side by 10
10x/10 = 11/10
x = 11/10
Answer:
is y=x^2 a proportional relationship?
is y=2+x a proportional relationship?
is y=2/x a proportional relationship?
is y=2x a proportional relationship?
