The point on the curve is (–4, 140)
Solution:
Given and slope is –67.
slope = –67
– – – – (1)
Now calculate for the given curve
.
Using differential rule:
– – – – (2)
Equate (1) and (2).
⇒ x = –4
Substitute x = –4 in y.
⇒
⇒
⇒ y = 140
Hence, the point on the curve given is (–4, 140).
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0, or (0,y))
Rise is the number of units you go up(+) or down(-)
Run is the number of units you go to the right
y = -2x
This has a y-intercept of 0, so the line intersects the y-axis/goes through the origin at (0,0)
The slope is -2 or , so from each point, you go down 2 units, and to the right 1 unit.
