PLEASE HELP What is the slope of this line? a) -2 b) -1/2c) 1/2d) 2
2 answers:
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Answer: 16) y=-0.5x+3 and 17) y=2x-3
Step-by-step explanation:
16: The slope-intercept form of a line is y=mx+b, where m is the slope, and b is the y-value at the y-intercept.
Since y=3 at x=0, the y-intercept is (0,3), and b=3.
Slope= where (
) and (
) are two points on the line. Choose (0,3) and (2,2):
Slope==-0.5
Plug m=-0.5 and b=3 into y=mx+b:
y=-0.5x+3
17: The slope-intercept form of a line is y=mx+b, where m is the slope, and b is the y-value at the y-intercept.
Because y=-3 at x=0, the y-intercept is (0,-3), and b=-3.
Slope= where (
) and (
) are two points on the line. Choose (0,-3) and (1,-1):
Slope==
=2
Plug m=2 and b=-3 into y=mx+b:
y=2x-3
Differentiate both sides with respect to <em>x</em>, assuming <em>y</em> = <em>y</em>(<em>x</em>).
Solve for d<em>y</em>/d<em>x</em> :
If <em>y</em> ≠ 0, we can write
At the point (1, 1), the derivative is