Question

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution. (3,1) and (-2,3).

Answer 1

The equation would be 2x + 5y = 11.

To find this, we first have to find the slope of the line. The slope formula is below.

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

In which (x1, y1) is the first point and (x2, y2) is the second. So we plug in to solve.

m = (3 - 1)/(-2 -3)

m = 2/-5

Now that we have the slope, we can use it along with a point to get the slope intercept form.

y = mx + b

3 = -2/5(-2) + b

3 = 4/5 + b

11/5 = b

Now that we have the equation of y = -2/5x + 11/5 we can manipulate it into standard form.

y = -2/5x + 11/5 -----> add 2/5x to both sides

2/5x + y = 11/5 ----> multiply both sides by 5

2x + 5y = 11