Question

The line having an x intercept of 3 and y intercept of 10
Write this in Standard form Ax+By=C

Answer 1

The standard form of the line is 10x + 3y = 10

Explanation:

First we need to find the slope of the equation, which we can do using the slope equation and the two points given: (3, 0) and (0, 10)

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

m = (10 - 0)/(0 -3)

m = 10/-3

Now we can write the equation in slope intercept form since we have the slope and the intercept.

y = mx + b

y = -10/3x + 10

Now we can manipulate the equation to get the standard form.

y = -10/3x + 10

10/3x + y = 10

10x + 3y = 30