Step-by-step explanation:
Hi there!
The given equation is:
y = -2x + 5………………(i)
Comparing the equation with y = mx+c, we get;
m1 = -2
Also another equation of the line which passes through point (-4,2), we get;
(y-2) = m2(X+4)............(ii) { using the formula (y-y1) = m2(x-x2)}
According to the question, they are perpendicular to eachother, So according to the condition of perpendicular lines;
m1*m2 = -1
-2*m2 = -1
or, m2 = 1/2.
Therefore, m2= 1/2.
Now, keeping the value of m2 in equation (ii).
(y-2) = 1/2(x+4)
y = (1/2)x + 4
Therefore, the required equation is: y = (1/2)x + 4.
<u>Hope</u><u> it</u><u> helps</u><u>!</u>
Answer:
C
Step-by-step explanation:
You have to divide both sides by the coefficient of x
Answer:
4
Step-by-step explanation:
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = − 7 x + 4 , we see that the y-intercept of the line is 4.
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<span>The answer is: [C]:
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Multiply each side by −8, subtract 35 from each side.
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Explanation:
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Given: You have (-1/8)*(x + 35) = -7
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Note that all the answer choices given start with: "Multiply each side by....";
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Given the choices, multiplying EACH SIDE of the equation by "(-8)" would make sense, since doing would cancel the "(-1/8)" on the "right-hand side" of the equation above to a "1" (i.e "cancel out" that ("-1/8") value); and would result in making the "right side" of the equation above ("-7") a positive integer number.
Then you would be left with: x + 35 = 56 ; so the next step would be to:
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Subtract: "(35)" from each side of the question [hence the answer choice] to isolate "x" on one side of the equation; and to solve for "x".
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Answer:
x,y ⇒x+10, y+10
Step-by-step explanation:
from looking at the graphs we can see there is only horizontal and vertical translations
take any point, for example the point C and it's transformed counterpart C'
and determine the change in x and y position
the point is translated 10 right and 10 up
so from x,y ⇒x+10, y+10
