Algebra nerds! I forgot how to do this problem please help!?
Topic: Algebra nerds! I forgot how to do this problem please help!?
June 16, 2019 / By Alyce Question:
The problem is: Write an equation of the line containing the points (3,1) and (2,-4) in slope intercept form.
Would I use y=mx+b?
I DO NOT WANT A DIRECT ANSWER! This doesn't help me any! Can you please walk me through how to do t his so i can use the formula on other problems?
BTW: Being a nerd is awesome so don't be taken aback by being called one!
Best Answers: Algebra nerds! I forgot how to do this problem please help!?
Vern | 3 days ago
First you find the slope. I think it run over rise. y1-y2/x1-x2
once you find the slope you can choose either the (3,1) or the (2,-4) and plug it into the equation below this sentence. I chose (3,1). Where it say y1 that where you plug in the 1 and same for x1 you plug in 3. Then just work the problem out
y – y1 = m(x – x1)
for this one if you pick (3,1) again you just plug in 1 for y and 3 for x and solve for b
👍 254 | 👎 3
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Originally Answered: Help me solve this algebra problem, my final is tomorrow and I forgot how to.?
Let n=number of nickels
d = number of dimes
1) n+d= 32 (32-d=n)
2) 10d + 5n = 250
10d + 5(32-d) = 250
10d + 160-5d = 250
5d = 250-160
5d = 90
If there are 18 dimes, then...
I'm pretty sure that's the answer...
sorry but its hard to explain
hopefully you will gain understanding of how to solve questions like these from my example..
and good luck :D
U . . c o u l d . . use y = m x + b !
This is the slope-intercept form.
There are formulas to solve your problen directly, but U see for a beter
Do U remember the slope definition?
m = ( y2 - y1) / (x2 - x1)
so we have
m = ( -4 - 1 ) / ( 2 - 3 )
also m = (-5) / ( -1 ) ;; m = 5
we can say, the ecuation has the form
y = 5 x + b
Now we force the ecuation, so that the graph goes through one of
the points (U can take any)
x = 3 ; y = 1
1 = 5 * 3 + b
so b = -14
The answer is
y = 5 x - 14
We test with the another point
x = 2 ;; y = - 4
- 4 = 5 * 2 - 14 hurray the "=" is TRUE !
U can use the same strategy when U have the slope and only
👍 110 | 👎 -4
Yes, you can use y=mx+b, but you first need to find the gradient (m).
The formula for gradient is (y2-y1)/(x2-x1), which basically means that you have to substitute the two points into the formula. Like in this case, the answer would be (-4-1)/(2-3) = -5/-1 = 5, so the gradient (m) is 5.
From here, you'll be able to form the equation, y=5x+b. However, you'll still need to find the value of b, the y-intercept. To do this, you just need to substitute in a value of y and x. For example, I'll use the points (3, 1) and substitute them in, therefore getting 1=5(3)+b = 15+b. Therefore, b=1-15 = -14.
Therefore, the equation of the line is y=5x-14.
👍 108 | 👎 -11
Yes you would want to use the form y = mx + b. This is slope intercept form. The first thing you want to find is the slope "m." The simplest way to do this is to use the equation: m = (y2 - y1)/(x2 - x1); where y2 is the y value of the second coordinate, x2 is the x value of the second coordinate, y1 and x1 are the values of the first coordinate. Now that you have calculated the slope, you want to find the y-intercept "b." The only value you know is the slope, and to find b we must know some y or x. Any values from a coordinate (x,y) on a line can be used. Use one of the coordinates given and plug into the equation y = mx + b. If you use one of those two coordinates you know, the y and x value, as well as the slope are known, leaving only b.
Now you know both the slope "m" and the y-intercept "b" so you just plug those two values into the slope intercept form, and you get:
y = [calculated m value]x + [calculated b value]
👍 106 | 👎 -18