Linear equation in slope intercept form

y = 2x + 24

Step-by-step explanation:

Slope-intercept form equation => y = mx + b

m = slope = change in y / change in x

b = y-intercept

✔️using two pairs of values form the table, (-6, 12) and (-5, 14):

Slope (m) = (14 - 12)/(-5 -(-6))

m = 2/1

m = 2

✔️To find b, substitute (x, y) = (-6, 12) and m = 2 into y = mx + b.

12 = 2(-6) + b

12 = -12 + b

12 + 12 = b

24 = b

b = 24

✔️To write the equation, substitute m = 2 and b = 24 into y = mx + b:

y = 2x + 24

a) false; the points do not have to be in a straight line.

step-by-step explanation:

the points could be in the shape of a triangle

b is incorrect

c is incorrect because it is saying the immediately don't form one when they are capable of doing so

d is incorrect

i did it myself and i got 4.2 (b) hope its right

step-by-step explanation: