Question

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

x 1 2 3 4
y −2 −6 −10 −14

y = mx + b

m is slope
b is y-intercept

Answer 1

@myininaya

Answer 2

@ganeshie8

Answer 3

first find the slope by using slope formula and 2 sets of points
slope formula is : slope(m) = (y2 - y1) / (x2 - x1)
now use 2 sets of points...it does not matter which ones
(1,-2)...x1 = 1 and y1 = -2
(2,-6)...x2 = 2 and y2 = -6
now sub it into the formula
slope(m) = (-6-2) / (2-1)
slope(m) = -8/1 or just -8

Now we use y = mx + b form and since we already found slope(m) we need to find y intercept(b)
y = mx + b
slope(m) = -8
use any set of points (1,-2)...x = 1 and y = -2
now sub into the formula and solve for b, the y intercept
y = mx + b
-2 = -8(1) + b
-2 = -8 + b
-2 + 8 = b
6 = b

so your line in slope intercept form is : y = -8x + 6