To solve for y we have to use the INVERSE OPERATION of addition which is subtraction Lets do it:-
y + 17 = 21
y = ?
21 - 17 = y
21 - 17 = 4
y = 4
CHECK OUR WORK:-
y + 17 = 21
y = 4
4 + 17 = ?
4 +17 = 21
We were RIGHT!!!!
So, y = 4.
Hope i helped ya!! xD
To find the gradient of the perpendicular line, we know that we must do the negative inverse of the current line's gradient
-6x from the old line will now be 1/6x
we are given points on that line and we therefore use the points and the new gradient to find the equation of the line using this formula
y-y1=m(x-x1) where m is the gradient
input the values that we have
y-5=1/6(x--4)
rearrange
y-5=1/6(x+4)
y-5=1/6x+4/6
6y-30=x+4
6y=x+34
y=1/6x+34/6
y=1/6x+17/3
There’s no attachment to this question and it can’t be answered without the attachment
Parallel lines are always straight so find the coordinates and then do y2-y1 over x2-x1 and it will be 0
9514 1404 393
Answer:
(d) y = -2x +8
Step-by-step explanation:
The parallel line will have the same x-coefficient, eliminating choices B and C. If it goes through point (4, 0), then (x, y) = (4, 0) will satisfy the equation.
A: 0 = -2(4) +4 = -4 . . . . . not true
D: 0 = -2(4) +8 . . . . . . . . true
The equation you're looking for is ...
y = -2x +8
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<em>Additional comment</em>
Since you know the slope is -2 and a point on the line is (4, 0), you can use the point-slope form of the equation for a line as a starting point.
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
For m = -2, and (h, k) = (4, 0), the equation becomes ...
y -0 = -2(x -4)
Simplified to slope-intercept form, this is ...
y = -2x +8
