First of all let's rearrange the equation for the given line:
4x + 7y + 3 = 0
7y = -4x - 3
y = (-4/7)x - 3/7
Now we know that the gradient of the line is -4/7
The gradients of two perpendicular lines multiply by each other to give -1, ie.
(-4/7)*m = -1
m = -1/(-4/7)
= 7/4, therefor the gradient of the perpendicular line is 7/4
Now we can substitute this and the point (-2, 1) into the equation y - y1 = m(x - x1)
y - 1 = 7/4(x - (-2))
y = 7/4x + 7/2 + 1
y = 7/4x + 9/2
If we look at the given answers then C is correct, since 9/2 = 18/4 and so the equation may also be written as y = 7/4x + 18/4
MrBillDoesMath!
Discussion:
For every value of x, g(x) = f(x) -1 meaning that the y-value of g(x) is 1 less than the corresponding y value of f(x). So the graph of g(x) is "below" f(x) or it is translated 1 unit downward from f(x)
MrB
Hello,
y-3x=2==>x=(y-2)/3
==>(x+1)²=((y-2)/3+1)²=(y+1)²/9
y=(x+1)²-5
==>y=(y²+2y1)/9 -5
==>y²-7y-44=0 ; Δ=7²+4*44=225=15²
==>y=(7+15)/2 or y=(7-15)/2
==>y =11 and x=(11-2)/3=3
or y=-4 and x=(-4-2)/3=-2
sol={(3,11);(-2,-4)}
Answer:b
Step-by-step explanation:l
