Question

How do you write an equation of a line given no slope, (-3, 3/4)?

Answer 1

See the entire solution process below:

Explanation:

If no slope is given we can let the slope = `m`.

Given the point we can use the point-slope formula to write the equation for this problem. The point-slope formula states: `(y - color(red)(y_1)) = color(blue)(m)(x - color(red)(x_1))`

Where `color(blue)(m)` is the slope and `color(red)(((x_1, y_1)))` is a point the line passes through.

Substituting the values from the point in the problem and letting the slope equal `m` the equation is:

`(y - color(red)(3/4)) = color(blue)(m)(x - color(red)(-3))`

`(y - color(red)(3/4)) = color(blue)(m)(x + color(red)(3))`