Math Problem Points are: A(-2,6) B(-6,5)?

Question

Give in Standard Form:

Point C(4,-3)

Answer 1

Hi!

The above answer is actually off a bit. The answer should be x-4y=-26.

Here's how you can arrive at that answer:

First, you need to determine the slope = rise/run = change in y/change in x.

So m = (6-5)/(-2-(-6))=1/4

Now slope intercept form of a line is y = mx + b
But we know m.

So y = (1/4)x+b

Now all we need is b -- the y-intercept.
Since we know 2 points, we can plug in either one and solve for b. I am going to solve using the point (-2, 6), you should try it with the other.

So 6 = (1/4)(-2)+b which gives b = 13/2

So slope intercept form of our line is y = 1/4 x + 13/2

Standard form of a line is Ax + By = C, where A, B, and C are integers, and A is non-negative.

So multiply the slope-intercept form by 4 to clear the denominators: 4y = x + 26
Now move everything into position to get the final answer of x - 4y = -26

Hope this helps!

Angel, university mathematics instructor

Answer 2

standard form is: x+4y=26