Write the equation in standard form of the line that passes through the points (7,-3) and (-3,1)

The standard form of the equation is 2x + 5y = -1

Step-by-step explanation:

To find this equation in standard form, we first need to find the slope of the line. We can do that by using the slope formula with the two points.

m(slope) = (y2 - y1)/(x2 - x1)

m = (1 - -3)/(-3 - 7)

m = 4/-10

m = -2/5

Now that we have the slope, we can use that along with the point in point-slope form

y - y1 = m(x - x1)

y - 1 = -2/5(x + 3)

Now that we have that, we can solve for the constant and rationalize the denominators.

y - 1 = -2/5x - 6/5

2/5x + y - 1 = -6/5

2/5x + y = -1/5

2x + 5y = -1

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x