Question

How do you write the equation of the line that passes through point (0, 7) with a slope of –5?

Answer 1

See a solution process below

Explanation:

The point `(0, 7)` is the same as the `y`-intercept of `7`

We can use the slope-intercept formula to write the equation of 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 the values from the problem gives:

`y = color(red)(-5)x + color(blue)(7)`