Question

Write the equation, in general form, of a line with a slope of 1 and a y-intercept of -1.

Answer 1

The equation in the general form with a slope of 1 and a y-intercept of -1 will be:

• 0 = x-y-1

Explanation:

Given

• slope = m = 1

• y-intercept = b = -1

We know that the slope-intercept of line equation is

`y=mx+b`

where m is the slope and b is the y-intercept

Thus, substituting m = 1 and b = -1 in the slope-intercept form of line equation

y=mx+b

y=1(x)+(-1)

y=x-1

Writing the equation in the general form form

The formula 0 = Ax + By + C is said to be the 'general form' for the equation of a line.

Here,

A, B, and C are three real numbers.

Thus, the equation in the general form will be:

y=x-1

0 = x-y-1

Therefore, the equation in the general form with a slope of 1 and a y-intercept of -1 will be:

• 0 = x-y-1