Question

PLEASE HELP VERY IMPORTANT TEST WILL MARK BRAINLIST
1. Write the equation of the line in slope-intercept form that has a slope of 2 and a y-intercept of -4.

2. Write the equation of the line in point-slope form that has a slope of 2 and goes through the point (-1, -5).

3. Write the equation of the line in slope-intercept form of the statement where y represents how much candy Olivia has left over. Olivia has 40 candies and eats 2 candies per day.

Answer 1

Answer:

Q1: y = 2x - 4

Q2: y = 2x

Q3: y = -2x + 40

Step-by-step explanation:

y = mx + b

m = slope

b = y intercept

Q1:

m = 2

b = -4

Therefore y = 2x - 4

Q2:

m = 2

For b, since given as an point substitute (-1,-5) into equation y = mx + b, where

x = -1

y = -5

Therefore: -5 = 2(-1) + b

Then Solve equation for b

b = -3

Therefore y = 2x - 3

Q3:

For m, find the slope of the line which can be given by rise over run.

At day 0, Olivia has 40 candies, at day 2 Olivia has 38 candies.

Therefore rise/run = -2/1

So m = -2

For b, we know at day 0 Olivia has 40 candies, therefore we get the point (0,40) on this graph.

Substitute (0,40) into equation y = mx + b

Therefore: 40 = -2(0) + b

Then solve for b

b = 40

Therefore y = -2x + 40