Question

Write the equation in standard form of the line that passes through (3, 1) and has a y-intercept of (0, -2).​

SHOW YOUR WORK

Answer 1

-x + y = - 2

Explanation:

Standard Form of the Line

The equation of a line can be written in standard form:

Ax + By = C

To find the values of A, B, and C, we must use the point-slope form:

y - k = m(x - h)

Where m is the slope and (h,k) is one point where the line passes through.

Let's calculate the slope by using the given points (3,1) and (0,-2):

`\displaystyle m=(y_2-y_1)/(x_2-x_1)`

`\displaystyle m=(-2-1)/(0-3)=1`

Now find the equation by using the point (0,-2):

y + 2 = 1(x - 0)

y = x - 2

Subtracting x:

- x + y = - 2