Question

Find the value of x or y so that the line passing through the given points has the given slope. (9, 3), (-6, 7y), m = 3

Alternate coordinate systems
ANSWERED
asked 2021-03-07
Find the value of x or y so that the line passing through the given points has the given slope. (9, 3), (-6, 7y), \(m = 3\)

Answers (1)

2021-03-08
Formula for the slope of a line, given two points on that line slope = \(m = \frac{(y2-y1)}{(x2-x1)}\)
Substituting the known values for this problem and simplifying \(3=\frac{(7y-3)}{(-6-9)}\)
\(3=\frac{(7y-3)}{-15}\)
Cross-multiplying and solving
\(-45=7y-3\)
\(-42=7y\)
\(y=-6\)
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