Question

(5,19) (1,19) what is the equation in slope intercept form

Answer 1

`\huge\boxed{y=19}`

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

`m` - slope

`b` - y-intercept (0, b)

The formula of a slope:

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

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We have two points (5, 19) and (1, 19).

Calculate the slope:

`m=(19-19)/(1-5)=(0)/(-4)=0`

Calculate the y-intercept (
`b`). Substitute
`m=0` and coordinate of the point (1, 19) to the equation of a line:

`19=0\cdot1+b\\\\19=b\to b=19`

Finally:

`y=19`