Question

How do you write the equation of a line which passes through (0, 5) and has a slope of 52/3?

Answer 1

`y = color(red)(52/3)x + color(blue)(5)`

Explanation:

Because the line passes through (0, 5) this is the y-intercept. And because we also know the slope we can use the slope-intercept formula to directly write the equation for this 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 the values from the problem gives:

`y = color(red)(52/3)x + color(blue)(5)`