What equation represents a slope containing points (-3,10) and (6,7)? - I much rather have someone explain how to find this equation on this online calculator, please, I understand how to find this on a TI-84 plus calculator but am unable to access one at the moment. Thank you!
+1667 Okay, let's see...
First, find the slope by subtracting the first order pair's points from the second, and making the remainder of the y-values your numerator and the remainder of the x-values your numerator.
7-10=3
6-(-3)=9
Your slope is 3/9, or 1/3.
Our current equation is y=1/3x+b (b is the y-intercept).
Now, to find the intercept, we only need one point. Let's use (6, 7).
All we need to do is plug in the values. When we do that, we get...
7=1/3(6)+b
Now solve...
7=2+b
5=b
Now, we know that our y-intercept is b!
Our final equation is y=1/3x+5
In conclusion, the equation for a line with the points, (-3, 10) and (6, 7), is...
y=1/3x+5
+1667 Okay, let's see...
First, find the slope by subtracting the first order pair's points from the second, and making the remainder of the y-values your numerator and the remainder of the x-values your numerator.
7-10=3
6-(-3)=9
Your slope is 3/9, or 1/3.
Our current equation is y=1/3x+b (b is the y-intercept).
Now, to find the intercept, we only need one point. Let's use (6, 7).
All we need to do is plug in the values. When we do that, we get...
7=1/3(6)+b
Now solve...
7=2+b
5=b
Now, we know that our y-intercept is b!
Our final equation is y=1/3x+5
In conclusion, the equation for a line with the points, (-3, 10) and (6, 7), is...
y=1/3x+5
Anonymous4338 almost got it right....except the slope is MINUS 1/3 .
Slope = rise/run (when looking at your points from L to the Right one)
From the two points rise = 7-10 = -3 run = 6- (-3) = 9 Rise/run = -3/9 = -1/3
Now y=mx+b Selecet one of your set of points, say 6,7
7=(-1/3)6 +b
b= 9
SO the eqution for your line is y= (-1/3)x + 9
Test this by substituting in your OTHER point
10 = (-1/3)(-3) + 9
10=1+9 = 10 It works!
~jc
