-13m = -377
m= -377/-13
m=29
the negatives cancel out. so just do 377/13 which equals 29
The general form of the equation we need to find is (x - h)^2 = 4p(y- k).
The center is the distance between the directrix and focus.
So, center (h, k) = (3, 3/2) .
P = distance from center to the focus and it just so happens to be 1.5.
We now plug everything into the formula given above.
(x - 3)^2 = 4(1.5)(y - 3/2)
(x - 3)^2 = 6(y - 3/2)
Done!
Hello.
First, let the number be r.
5 times r is written like this:
Now, add 45:
Now, the sum of 5r+45 is equal to the sum of 85 and 140:
In order to solve this equation, we need to add 85 and 140:
Now, subtract 45 from both sides:
The last step is to divide both sides by 5:
Therefore, the answer is
I hope it helps.
Have a nice day.
Answer:
y = -3/5x - 12/5
Step-by-step explanation:
The equation I'm going to give is going to be in slope-intercept form. If you need it in point-slope, I can do so in an edit or the comments.
Slope-intercept form is: <em>y = mx + b</em> where m is the slope, b is the y-intercept.
So let's plug in our given slope:
y = -3/5x + b
Using this, we now plug in our x- and y-coordinates from the given point to solve for b.
-3 = -3/5(1) + b
-3 = -3/5 + b
Add 3/5 to both sides to isolate variable b.
-3 + 3/5 = b
-15/5 + 3/5 = b
-12/5 = b
Plug this new info back into the original equation and your answer is
y = -3/5x - 12/5
