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Write the equation of a line passing through the points (6,8) and (10,10).

1. y = 1/2 x - 5
2. y = 2x - 4
3. y = -1/2 x + 11
4. y = 1/2 x + 5

1 Answer

6 votes

Answer:

4

Explanation:

y = mx + b

We need to find the slope (m) and the y-intercept (b)

y = _x + b

Slope:

change in y over the change in x. The y values are 10 and 8. The x values are 10 and 6. We find the change by subtracting.


(10 - 8)/(10 - 6) =
(2)/(4) =
(1)/(2)

The slope (m) is
(1)/(2)

y-intercept:

To find this we need the slope
(1)/(2) and the x and y from one of the points. I will use the point (6,8) The y value is 8 and the x value is 6

y = mx + b

8 =
(1)/(2)(6) + b

8 = 3 + b Subtract 3 from both sides

8 - 3 = 3 -3 +b

5 = b

The y-intercept is 5.

y =
(1)/(2) x + 5

Helping in the name of Jesus.

User Jacob Oettinger
by
8.3k points

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