Question

Write an equation for the line given that m=0 and the y intercept is (0,-2)

Answer 1

y= -2

Explanation:

The graph equation is y=mx+b. {The b is the y-intercept (0,b)}. There is no slope (mx) because the line doesn't go up or down. The y-intercept is (0,-2) so b=-2.

y=mx+b

y=0+-2

y=-2

The answer is y=-2

Answer 2

`\boxed{y=-2}`

Explanation:

`The \ graph \ of \ the \ equation: \\ \\ y=mx+b \\ \\ is \ a \ line \ whose \ slope \ is \ m \ and \ whose \ y-intercept \ is \ (0, b)`

In this problem, this line has a slope
`m=0`, that is, this is an horizontal straight line. The intercept is the point
`(0,-2)`, so
`b=-2`. Finally, by substituting these values we have:

`y=-2`

Lastly, this solution is shown in the figure below.