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Lana71 [14]
3 years ago
5

Write the equation of the line, in slope-intercept form, that contains the points (-1,-2) and (1,2)

Mathematics
1 answer:
Bad White [126]3 years ago
4 0
Slope intercept is y=mx+b
m=slope
slope if found by
m=(y1-y2)/(x1-x2)
(x,y)
(-1,-2) and
(1,2)
x1=-1
y1=-2
x2=1
y2=2


m=(-1-1)/(-2-2)
m=-2/-4
m=1/2


y=1/2x+b
solve fo by subsituting one x value
(1,2)
x=1
y=2
2=1/2(1)+b
2=1/2+b
subtract 1/2
3/2=b


equation is
y=1/2x+3/2

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Andreyy89
You want to get familiar with what the slope-intercept form equation means. even though the discussion board covers some of this... slope-intercept is y = mx + b, and in it, x and y are a point on your graph (x, y), m is the slope, and b is your y-intercept. in word problems, any constant will typically be b.

but, really, to answer this word problem, you don't have to think so hard about y = mx + b. just read the problem and bring your information together:

"the venue will cost $1500 to rent for an evening"
"$25 per person"

so they only gave you two bits of information, and you just have to decide where they fit. if the venue costs $1500 for an evening, that's a fixed cost--the 1500 isn't going to go up or down depending on the number of people at the charity event. it stays. you're paying 1500 regardless, even if 2 people show up. because the discussion board states that b should represent your starting amount, you're automatically $1500 in the hole, because you have to spend that much to get the venue. you will, however, write it as a positive integer, because the question wants you to calculate the total cost, by my understanding--you're adding the cost of the people with the cost of the venue.

$25 is not a fixed amount. if it's $25 per person, then if 2 people come, it costs $50, if 3 people arrive, it costs $75. this cost is dependent upon the number of people, which you can call "x"

with that information, write any other equation you would for a word problem:

y = 25x + 1500

that's your equation, and it just so happens that this equation is in y = mx + b format. the x-value represents the number of people who show up for the charity; the y-value represents the overall cost.

and you need three solutions for this equation--which, luckily, is a quick and easy process!! choose an x-value and solve for y.

y = 25x + 1500

when x = 1...
y = 25(1) + 1500
y = 25 + 1500
y = 1525
ordered pair: (1, 1525)

when x = 2...
y = 25(2) + 1500
y = 50 + 1500
y = 1550
ordered pair: (2, 1550)

when x = 3...
y = 25(3) + 1500
y = 75 + 1500
y = 1575
ordered pair: (3, 1575)

i hope that helped!!
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3 years ago
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