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Find the equation of the line that passes through the points (1, 6) and (2, 8). By substitution in this equation, show that (3, 10) als
Question
Find the equation of the line that passes through the points (1, 6) and (2, 8).
By substitution in this equation, show that (3, 10) also lies on this line.
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Mathematics
4 years
2021-07-22T22:08:09+00:00
2021-07-22T22:08:09+00:00 1 Answers
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Answers ( )
Answer:
y = 2x + 4
Step-by-step explanation:
y2 – y1/ x2- x1
= 8 – 6 / 2 – 1
= 2
So now our equation is y = 2x + b (from y = mx+b). Now plug in the coordinates to find the y-intercept.
y = 2x + b
8 = 2(2) + b
8 = 4 + b
4 = b
The y-intercept is 4.
If we put one of the values like the x in the equation, we should get the y value.
y = 2x + 4
y = 2 (3) + 4
y = 6 + 4
y = 10
(3,10)