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

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

the photograph is photographer and- in the process- ourselves.

step-by-step explanation: