Question

How do you find m in $y = mx + b$?

Answer 1

The standard form $y = mx + b$ is where m is the slope and b is the y-intercept. For finding slope we use slope equation for two points on line given or special cases. There are two special cases which explain in complete step by step answers. So according to the question you have to think and use one of the methods for solving questions and fine slopes.

Complete step by step answer:
Standard form of any line is $y = mx + b$
Where m is slope and b is the y-intercept.
The slope of the line when two points on the line are given:
$m = \dfrac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}$
Here, $({x_1},{y_1})$ and $({x_2},{y_2})$ are points on the line
There are two special cases of lines:
$1^{st}$ Horizontal lines, in this lines value of y-coordinate is always the same,
So ${y_1} = {y_2}$ and slope of a horizontal line is $0$.
$2^{nd}$ Vertical lines, in this lines values of x- coordinate is always the same,
So ${x_2} = {x_1}$ and slope of a vertical line is undefined.

Note:
For solving such types of questions you must remember the slope formula and also these two special cases. This type of question becomes very easy when you remember formulas and special cases. Do not memorize, just read and understand how you can use these cases.