Write the equation of a line in the slope-intercept form that contains the points A (1, 2) and B (2, 4).

Choice A)  y = 2x

slope = 2, y intercept = 0

Explanation:

We can see this by noting that each y coordinate is simply doubled that of the x coordinate.

So in general, x doubles to 2x to get the y coordinate. Therefore, y = 2x.

Alternative method:

A more thorough step by step process would have us first finding the slope

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

m = (4 - 2)/(2 - 1)

m = 2/1

m = 2 is the slope

Use this slope value along with one of the points to find b. I'll use the point (x,y) = (1,2)

So,

y = mx+b

2 = 2*1+b

2 = 2+b

2-2 = b

0 = b

b = 0 is the y intercept

We go from y = mx+b to y = 2x+0, which simplifies to y = 2x

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !