There is a question >
Write the slope intercept form of the equation for the line passing through the points (-6,3) and (0,7)
Now my answer started with >
Slope = 7-3/0-(-6) = Slope = 2/3
Then to find the intercept >
Y=mx+c
3= 2/3(-6) + c
c= 7
In my opinion this is the only way I could think of besides the formula y0-y1=m(x0-x1) and I tried that and I am getting nothing..
So where am I going wrong?
The right answer according to mathlab is > y=3/4x+8
Unless you have a typo in your original information, the correct equation in y-intercept slope form is
y = (2/3)x + 7 , which is what you had
As was shown by Jesse, the answer they supplied does not verify , so it is wrong.
Both of the given points satisfy your equation.
As a matter of fact (0,7) is the actual y-intercept , thus the b of the equation.
Trust me!!
Aha, then is must be a technical error in Mathlab. :/
The steps you described for finding the slope and intercept are correct. It seems like there might have been a calculation mistake somewhere. Let's double-check your calculations.
First, let's calculate the slope using the formula:
slope = (y2 - y1) / (x2 - x1)
slope = (7 - 3) / (0 - (-6))
slope = 4 / 6
slope = 2/3
Now let's find the y-intercept (c) using the point-slope form (y = mx + c):
y = (2/3)x + c
Substituting the coordinates of one of the points (-6,3):
3 = (2/3)(-6) + c
3 = -4 + c
c = 3 + 4
c = 7
So, the equation of the line in slope-intercept form is:
y = (2/3)x + 7
However, according to your input, the correct answer should be y = 3/4 x + 8. Let's verify that:
slope = (7 - 3) / (0 - (-6))
slope = 4 / 6
slope = 2/3
Using the point-slope form:
y = (2/3)x + c
Substituting the coordinates of one of the points (0,7):
7 = (2/3)(0) + c
7 = c
So, the equation of the line in slope-intercept form would be:
y = (2/3)x + 7
I apologize for any confusion caused by the discrepancy between the answer you obtained and the solution provided by the software. However, by following the correct calculations, the equation y = (2/3)x + 7 is the most accurate representation of the line passing through the given points (-6,3) and (0,7).