A line has a slope of 3/5. It passes through the points (1, 2) and ( k, 8). What is the value of k?
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Answer:
11
Step-by-step explanation:
the equation for a line is y=mx+c
m is the gradient, c is where it touches the y axis.
y and x are the points on the graph.
therefore, y=3/5x+c
you can substitute the point they've given you (1,2)
2=3/5(1)+c
this will give you c=7/5
you can now substitute the new point into the equation
8=3/5k+7/5
which can be rearranged to k=11
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