Question

Please help :) is the relationship linear, if so model the data with and equation.

Answer 1

pretty sure it's A

Explanation:

The problems don't add up so I'd say it's linear (you probably shouldn't take my advice I'm as bad at math as you are-)

Answer 2

C. y + 4 = -1/2 (x - 1)

Explanation:

The x values go up by 6 units each step, 1, 7, 13, 19.

Start with 1 and add 6 to get 7, then add 6 to get 13, then add 6 to get 19.

For each corresponding step in x, y becomes 3 less.

Start with -4, then subtract 3 to get -7, subtract 3 to get -10, subtract 3 to get -13.

For every change of 6 in x, you get a change of -3 in y. This means a linear relationship.

To find the equation, we can use any two of the given points and the point-slope equation of a line.

y - y1 = m(x - x1)

m = slope = (y2 - y1)/(x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line, and m = slope.

Let's use the points (x1, y1) = (1, -4) and (x2, y2) = (7, -7)

y - y1 = (y2 - y1)/(x2 - x1) * (x - x1)

y - (-4) = (-7 - (-4))/(7 - 1) * (x - 1)

y + 4 = (-7 + 4)/(6) * (x - 1)

y + 4 = (-3/6)(x - 1)

y + 4 = -1/2 (x - 1)