What is the slope-intercept form of the function described by this table?

x 1 2 3 4
y 2 7 12 17

y = x +

Question

What is the slope-intercept form of the function described by this table?
 
x	1	2	3	4
y	2	7	12	17
 
 
y =   x +

sammixboo · Answer

Doyou know the formula for slope-intercept form?

sammixboo · Answer

y = mx + b is the formula.

m = slope
y = y value
x =x value
b = y intercept (starting point)

Well b is given.It is 2, so now we have

y = mx + 2

Now, let's find the slope. Do you know the formula tofind the slope given two points?

anonymous · Answer

no, i'm not good with function-slopes

sammixboo · Answer

Ah, OK. Well the formula is $\dfrac{y_2 - y_1}{x_2 - x_1}$

Let's use two of the points (1, 2) and (2, 7)

(1, 2) 
1 = $x_1$
2 = $y_1$

(2, 7)
2 = $x_2$
7 = $y_2$

Plug in the values..

$slope = \dfrac{2-1}{7-2}$

sammixboo · Answer

What is 2 -1 and 7 - 2?

anonymous · Answer

1,5

anonymous · Answer

@sammixboo