Meet 5 practice

Problem 2 I thought was not difficult but no one got it right. So here it is:

.  If I would like a line with a slope of  -½  to intersect y = 2x – 5, where x=2, 

what would be the equation of that line in slope-intercept form?

    Let's think about this... we want an equation in the slope-intercept form, so my answer is going to be y=mx+b, (for example y=3x+8) where m is the slope and b is the y-intercept. But I'm going to have to figure out what m and b are. 

    Well, They give me the slope, so y=-½ x + b and all I need to do is figure out b, the y-intercept. Well, let's see ... it must intersect the line y = 2x-5 where x=2. What point is that? Well, x=2, but what is y? When x=2, y = 2x-5 means y = 2(2)-5 that's 4-5 or -1. So the point where it crosses is (2, -1). So my equation was y=-½ x + b and now I have a point, an (x,y), that satisfies my equation - namely (2,-1) So that means (-1)=-½(2) + b. Simplify to -1=-1+b or 0=b. 

So I've figured out both m and b and I can write my equation in slope-intercept form, y=mx+b

My equation is y = -½ x + 0

Grade	Name	P5a	M5r
8	Frank Sullivan	6	39.0
5	Oscar Halverson	4	20.0
6	Noelle Wang	0	18.3
5	Cyrus Martin Risch		14.0
5	Nick Wendt	2	13.0
5	Dain Dolan	4	8.7
5	Oslo Martin Risch	2	7.0
8	Naomi Spande		5.3
5	Aidan Dolan	2	4.3
6	Lydia Houge		4.0
5	Sophia Schomer	2	3.0
5	Nicholas Reisig	2	2.3
6	Aiden Lee		2.0
6	Lily Pince		1.3
6	Emma Stevenson		0.0
5	Jake Lancaster		0.0

Grade	TEAM ROSTER	P5a	P5b	M5r
8	Aiden Jacobs			33.3
8	Abbey Dzurilla	?	?	30.7
7	Anthony Rocke	6		23.7
7	Ben Nickson	0	0	14.3
7	Cullen Sander	4	6	13.0
7	Steve Nickson	0	0	12.0
6	Angel Hernandez			2.7
5	Nik Zeravica			2.0
5	Victoria Dzurilla	0	0	2.0