an equation in standard form for the line that passes through (2,-1) and (6,5)

Question

___x(-,+)___y=____

Answer 1

-1+(-6x/4)=-1(6)+2(5)
multiply both sides by 4 to clear fraction: -4-6x=-6+10
-6x=0
divide by -6 on both sides: x=0

Answer 2

Are you sure?

Answer 3

I apologize for the mistake in my previous response. Let's try solving it again.

Given points: (2, -1) and (6, 5)

Slope (m) = (change in y) / (change in x)
m = (5 - (-1)) / (6 - 2)
m = 6 / 4
m = 3/2

Now, use one of the points and the slope in the point-slope form of the equation of a line:
y - y1 = m(x - x1)

Using (2, -1):
y - (-1) = (3/2)(x - 2)
y + 1 = (3/2)(x - 2)

Now, rewrite the equation in standard form (Ax + By = C):
3x - 2y = 7

So, the equation in standard form for the line passing through (2, -1) and (6, 5) is:
3x - 2y = 7