Answer:
Q1: Function C
Q2: Function B
Step-by-step explanation:
USE THIS EQUATION:
[tex]y = mx + b[/tex]
Starting with A,
Do the change in (y2 - y1) OVER the change in x (x2 - x1), Choosing 2 coordinate points (0,0) and (2,5), I substitute those in the formula,
[tex](5 - 2) \div (2 - 0)[/tex]
Which is just 5/2. WE GOT THE SLOPE, now the b,
Since the m is 5/2, it should be the following:
[tex]y = (5 \div 2)x + b[/tex]
Put any coordinates ( 0,0 since a life saver) you get 0 = (5/2)0 + b, you know the rules, so do i (get it), then its 0 = b, so b is 0. Plotting all of the information to this final linear equation:
[tex]y = (5 \div 2)x + 0[/tex]
NEXT IS B,
It's literally there, here's there equation:
[tex]y = 3x - 1[/tex]
FOR C:
Choose 2 coordinate points that is on the lines (which is 0,2 and 3,3)
Like for a, change in y over change in x. This should lead us to 1/3, which is our slope, but we don't need to find the b (y intercept) since it's there, 2. So this is the finalt result:
[tex]y = (1 \div 3)x + 2[/tex]
But this isn't the question, lets answer them:
**FOR Q1: This is just telling us which equation has the biggest y intercept (b), which is Function C (2 > -1 and 2 > 0)
**FOR Q2: This is asking us which function has the greatest slope, which is 3 or Function B, (3 > 5/2[or 2.5] and 3 > 1/3)
