Question

The slope of a line is 0, and the y-intercept is 6. what is the equation of the line written in slope-intercept form? y = 6 user: the slope of a line is -1/5, and the y-intercept is 5. what is the equation of the line written in general form?

Answer 1

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

Answer 2

y = 6

5y + x - 25 = 0

Explanation:

Solution:-

- There are two ways to represent the linear equation of a line. For the first part the slope-intercept form is to be used:

y = mx + c

Where, m = slope and c = y-intercept.

First part the slope m = 0 and y-intercept c = 6. The slope-intercept equation of line is:

y = 0 + 6

y = 6

- The second part entails the use of equation of line in general form as follows:

0 = Ax + By + C

Where, A , B , and C are constants.

- Slope m = -1/5 and y-intercept c = 5. The slope-intercept equation of line is:

y = -x / 5 + 5

- We will convert the slope-intercept form into general form as follows:

y = -x / 5 + 25 / 5

y = ( - x + 25 ) / 5

5y = - x + 25

5y + x - 25 = 0

- The constants are A = 1 , B = 5 and C = -25