Answer:
(x, y) = (-4, -15)
Step-by-step explanation:
Perhaps you want the solution to ...
y = 3/4x -12
y = -4x -31
Equating the two expressions for y gives ...
3/4x -12 = -4x -31
3/4x = -4x -19 . . . . . add 12
3x = -16x -76 . . . . . multiply by 4
19x = -76 . . . . . . . . . add 16x
x = -76/19 = -4 . . . . divide by 19
y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y
The solution to this system of equations is ...
(x, y) = (-4, -15)
Answer:
y + 6 = (-8/5)(x - 1) in point-slope form
Step-by-step explanation:
Moving from the 1st point to the first, we see that x (the 'run') increases by 5 from -4 to 1, and y (the 'rise') decreases by 8. Thus, the slope of the line through these two points is m = rise / run = -8/5
Now we have two points on the line, plus the slope. Let's write out the point-slope formula for the equation of a straight line:
y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.
Here, using the point (1, -6), we obtain:
y + 6 = (-8/5)(x - 1) in point-slope form
C=20 I think the answer is that