Question

Write the equation of each line in slope-intercept form given its slope and a point on the line.

m=2, (0,8)

Answer 1

y=2x+8

Explanation:

Hey bro,

First:

You use the equation, y=mx+ b.

Second:

Substitute in the values.

Third:

You find your answer.

We don't know the y, but we know the mx and the b, so substitute that in, and you get:

y=2x+8!

Hope this helps, have a good day. c;

(tell me when you get this)

Answer 2

`y=2x+8`

Explanation:

The slope intercept form of a line has the form
`y=mx+b` where (x,y) is the input and output of the function. These remain in the equation unless a specific value for x or y is given and substituted. These inputs and outputs forms our coordinate pairs.

The equation also contains m, the slope, and b, the y-intercept. Because m and b are located directly in the equation, we call it the slope-intercept form. What do these components mean? The slope is the constant rate of change of the line or also known as the rise/run. The y-intercept is the point at which the line crosses the y-axis and has the point (0,b) always.

Since our line has m=2 then we write the equation
`y=2x+b`. We also know the line crosses through the point (0,8) which is our (0,b) point. We can substitute b=8 and write
`y=2x+8`. This is the slope-intercept equation for this line.