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Find a value for k so that the line through (k,-10) and (5,-6) is parallel to y= -1/4x + 3
has a slope
and y-intercept of 3.
Step 2. By Definition the slope m is
where m=-1/4 since lines will be parallel
Step 3. Let x1=k and y1=-10 for (k,-10) and x2=5 and y2=-6 for (5,-6)
Step 4. Substitute values in Step 3 into Step 4
Now multiply 4(5-k) to get rid of diameters.
Add k-16 to both sides to get k
I hope the above steps were helpful.
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