Question

Please help its for a grade.

Answer 1

x | y

0 | 2

2 | 6

4 | 10

6 | 14

Equation of the line is

`(y - 2)/(x - 0) = (6 - 2)/(2 - 0) \\ (y - 2)/(x) = (4)/(2) = 2 \\ y - 2 = 2x \\ y - 2x = 2\\ \boxed{y=2x+2}`

When x=40, y will be (2×40)+2 =82

So the point should pass through (40,82) and not (40,76).

Answer 2

See below

Explanation:

Taking the readings from the graph

• x .... y
• 0 .... 2
• 2 .... 6
• 4 .... 10
• 6 .... 14

Rate of change for the given line is:

• (6 - 2)/2 = 4/2 = 2
• y- intercept is 2

Equation for the line is:

• y = 2x + 2

For the point (40, 76) we can verify with the equation:

• 40*2 + 2 = 82

The point (40, 76) is close the line but the line doesn't pass through it.