The equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through the point (4, 8) and has a slope of -2.
On comparing the standard equation:
y = mx + c
Here m is the slope of the line and c is the y-intercept.
m = -2
y = -2x + c
Plug x = 4 and y = 8
8 = -2(4) + c
c = 16
y = -2x + 16
Thus, the equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.
Learn more about the linear equation here:
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Answer:
SA = 202
Step-by-step explanation:
Surface area = Sum of all 6 areas of each side of the cuboid
SA = 2 (4·5 + 5·9 +9·4), because there are 2 of each kind of sides
SA = 2 (20+ 45 + 36)
SA = 2·101
SA = 202
Answer:
= 1/2
Step-by-step explanation:
From the question: 1 bag contains
4 cotton candy lollipops
3 cherry lollipops
6 butterscotch lollipops
1 orange lollipops
Total number of possible outcomes =
14
The probability of randomly choosing a cotton candy or orange lollipops is calculated as:
P(Cotton candy) + P(Orange)
= 4/14 + 3/14
= 7/14
= 1/2
I found the correct image that accompanies this problem and edited it with my answers.. Pls. see attachment.
Based on the attachment, the correct statements are:
<span>1) DO,2 (x,y) = (2x, 2y)
2) Side Q'S' lies on a line with a slope of -1.
Q'(-6,6) S'(-2,2)
m = y1 - y2 / x1 - x2
m = 6 - 2 / -6 - (-2)
m = 4 / -4
m = -1
</span><span>5) The distance from Q' to the origin is twice the distance from Q to the origin.
</span>
In an equation the Left hand side must equal the right hand side
4(5y-8-2)=185-15
20y-32-8=170
20y=170+32+8
20y=210
Therefore y=10,5
When you substitute the 10,5 and solve it on the left and side it's equal to 170 which is the answer on the right hand side