Question

How do you write an equation of a line given m=3-3/4 and b=7/3?

Answer 1

See a solution process below:

Explanation:

First, we need to find the slope of the line by simplifying the term for `m`:

`m = 3 - 3/4`

`m = (4/4 xx 3) - 3/4`

`m = 12/4 - 3/4`

`m = 9/4`

Now we know `m` and were given `b` we can use the slope-intercept formula to write the equation for the line. The slope-intercept form of a linear equation is: `y = color(red)(m)x + color(blue)(b)`

Where `color(red)(m)` is the slope and `color(blue)(b)` is the y-intercept value.

Substituting for `m` and `b` gives:

`y = color(red)(9/4)x + color(blue)(7/3)`