The general form of the line is:
y = mx + c where:
m is the slope
c is the y-intercept
Now, we are given that the slope = 1/2.
The equation now became:
y = (1/2) x + c
Now, we need to get the y-intercept. We are given that (-4 ,1) belongs to the line. Therefore, this point satisfies the equation of the line. Based on this, we will substitute with this point in the equation above and solve for c as follows:
y = (1/2) x + c
1 = (1/2)(-4) + c
1 = -2 + c
c = 1+2
c = 3
Based on the above, the equation of the line is:
y = (1/2) x + 3
Answer:
3(5+x)
Step-by-step explanation:
Another expression that can equal 15+3x is 3(5+x)
<u>Use Distributive Property:</u>
3(5+x)
=15 + 3x.
I wish you the best of luck, and hopefully this is an option on your homework!
The new coordinate will be T'(3.2 , -1.6) .
<h3>What is the meaning of Dilation ?</h3>
Dilation is the transformation that changes the size of the object without changing its shape .
If a coordinate point is (x,y) and a dilation of scale factor f is applied then the new coordinates will be (fx ,fy)
The coordinate given in the question is T(8, -4)
The scale factor is 0.4
The new coordinate is
T'( 0.4 * 8 , 0.4 * (-4))
T'(3.2 , -1.6)
Therefore the new coordinate will be T'(3.2 , -1.6)
To know more about Dilation
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X - 3
if x = 7 then 7 - 3 = 4
answer
4