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What is an equation of the line that passes through the points (6, 5) and (7, 7)

Sagot :

Answer:

y=2x-7

Step-by-step explanation:

7-5/7-6=2 (slope)

y=2x+b

5=2(6) + b

5-12=b

b=-7

y=2x-7

Estheridn
y = 2x - 7


Slope (m) formula: y2 - y1 / x2 - x1

y2 - y1 / x2 - x1
7 - 5 / 7 - 6 = 2/1 = 2
This is our slope.

y = mx + b
y = 2x + b

Now we use either one of our points to find b.

(7, 7)
y = 2x + b
7 = 2(7) + b
7 = 14 + b
-14 -14
-7 = b

y = mx + b
y = 2x - 7


Check your answer using (6, 5) or (7, 7):
y = 2x - 7
7 = 2(7) - 7
7 = 14 - 7
7 = 7
This statement is correct


y = 2x - 7
5 = 2(6) - 7
5 = 12 - 7
5 = 5
This statement is correct

Therefore, our final answer is y = 2x - 7



Hope this helps!
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