Question

Write the equation of the line in slope-intercept form.
m=4/7, y-intercept (0,3)

Answer 1

`\boxed {\tt y=(4)/(7)x+3}`

Explanation:

Slope-intercept form is:

`y=mx+b`

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

We know the slope is 4/7 and the y-intercept is (0,3). In this form, we can say the y-intercept is just 3. Therefore,

`m=(4)/(7)\\b= 3`

Substitute the values into the form.

`y=(4)/(7) x+3`

The equation of the line is:

y=4/7x+3

Answer 2

The answer is

`y = (4)/(7) x + 3 \\`

Explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

slope / m = 4/7

y intercept / c = 3

Substitute the values into the above formula

We have the equation as

`y = (4)/(7) x + 3 \\`

Hope this helps you