Match the reasons with the statements in the proof to prove AB || DC , given that AD is parallel to BC and AD = CB .
2 answers:
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The idea is to use the tangent line to at
in order to approximate
.
We have
so the linear approximation to is
Hence and
.
Then
To find the slope of the line we can use the following formula:
1 - (-3)/5 - 1
4 / 4
1
<h3>The slope of the line is equal to 1.</h3>To find the equation, we can just use slope-intercept form.
We already know the slope, so our current equation is y = x
By knowing the slope, we can apply the slope to our lowest pair of coordinates to find the y value when x = 0.
Subtract 1 from the x and y values of (1, -3)
(0, -4) is our new point, and so we know the y-intercept is -4.
<h3>Our equation for the line is y = x - 4</h3>