Write the equation in standard form for the line that passes through (6, -1) and (10,-*)
So far I have -8-1 is -9 and 10-6 is 4, is the -9 correct?
Then y plus 10 equals 9/4(x - 8)
Then multiply by 2 so 2y plus 20 equals 18/4x - 146/4
Is this correct so far?
I replied to one of your previous questions which is almost identical to this one, but apparently you did not look at it.
http://www.jiskha.com/display.cgi?id=1254199568
anyway...
first of all, you have an error in your calculation of slope.
slope = (-8 - (-1))/(10 - 6)
= -7/4
then, using (10,-8)
y - (-8) = (-7/4)(x-10)
y + 8 = (-7/4)(x-10)
multiply both sides by 4 to get rid of fractions...
4y + 32 = -7(x-10)
4y + 32 = -7x + 70
7x + 4y = 38
I usually check using the point NOT used to find the equation, the (6,-1)
Left Side = 7(6) + 4(-1)
= 42 - 4
= 38
= Right Side !
You are making errors in subtracting integers.
yes, I did see the reply earlier. However, I'm still having trouble figuring out how to do the work.
thanks for your help.
To write the equation of a line in standard form, which is in the form Ax + By = C, we need to simplify the equation you have found so far.
Given the points (6, -1) and (10, -*), let's first find the slope of the line using the formula:
slope (m) = (y2 - y1) / (x2 - x1)
So, substituting the coordinates:
m = (-* - (-1)) / (10 - 6)
m = (-*) / 4
Since the slope (m) is equal to (-*) / 4, we can simplify this expression by multiplying both sides by 4 to get:
4m = -*
Now, let's use the point-slope form of the equation for a line, which is:
y - y1 = m(x - x1)
Substituting the point (6, -1), we have:
y - (-1) = (* / 4)(x - 6)
y + 1 = (* / 4)(x - 6)
To get rid of the fraction, we can multiply both sides by 4:
4(y + 1) = *(x - 6)
4y + 4 = *(x - 6)
Now, distribute the *:
4y + 4 = *x - 6*
To write the equation in standard form (Ax + By = C), we want the coefficient of x to be positive, so we can multiply the equation by -1:
-4y - 4 = -*x + 6*
Finally, rearranging the equation, we have:
*x + 4y = -6 + 4
*x + 4y = -2
Thus, the equation in standard form for the line that passes through (6, -1) and (10, -*) is *x + 4y = -2.