Question

Note: This is NOT a question, but a mind-blowing tutorial.
What were slopes and intercepts, btw? Well, right place is what I should say.

Answer 1

Well, what are equations in slope-intercept form? They are basically the equations that have a straight-line graph and are in the form:

\(\Huge \color{MidnightBlue}{\Rightarrow y = mx + b }\)

I hope it was readable :P

In the equation, as you see, m is the slope, and b is the y-intercept.

If you are given the equation \(\rightarrow y = 3x + 6\), then compare it with y = mx + b.
The slope is m i.e., 3 in this case.
The y - intercept is b, which is +6 in this case.

\(\Huge \color{MidnightBlue}{\Rightarrow SLOPE }\)

What is slope? Slope equals change in y over change in x. Another way to think about it is:

\(\Large \color{MidnightBlue}{\Rightarrow Slope = {y_{2} - y_{1} \over x_{2} - x_{1}} }\)

If you are given two pairs of co-ordinates, then see the y-value in the second pair and subtract that by the y-value in the first pair.
Divide that by the difference of \(x_{2} \text{ and } x_{1} \).

What is the slope of a line that passes through points (3,4) and (4,5)
Well, try to solve that as you know now how to get it.

\(\Huge \color{MidnightBlue}{\Rightarrow Intercepts }\)

What is an intercept? Intercept is a value of a variable obtained when you set up the other variable as 0.

To obtain the y-intercept, set x = 0.
To obtain the x-intercept, set y = 0.

For example, the equation is given as follows and you have to determine the x-intercept and y-intercept.

\(\Large \color{Orange}{\Rightarrow y = {1 \over 3}x + 6 }\)

y-intercept would be 6, because when we set x = 0, then it simply cancels out and we are left with y = 6.
x-intercept would be -18, because when we set y = 0 and subtract 6 from both sides, we are left with:
\(\Large \color{MidnightBlue}{\Rightarrow -6 = {1x \over 3} }\)
\(\Large \color{MidnightBlue}{\Rightarrow x = -6(3) = -18 }\)

Next tutorial in the series: How to graph when given the slope.

Answer 2

i still can't read anything [Math Processing Error] :P

Answer 3

It's just a bug. Refresh the page.

Answer 4

Nice and informative...and simple:D

Answer 5

lol jazy...fast reader :D

Answer 6

lol @Lgb :D

Answer 7

I pride myself in that lol:P love to read and math is somewhat entertaining...nice mix:)

Answer 8

nice @ParthKohli getting better :D one bad comment though...you still cant estimate the size of the latex...some text needs to be smaller...some need to be bigger

Answer 9

Lol it was fully intentional.

Answer 10

\[\large \frac{y_2 - y_1}{x_2 - x_1}\] is barely readable :P

Answer 11

share...
is their are people who is numb?

Answer 12

The way y always thought of y=mx+b

is if you are given a linear equation not in y=mx+b

is to just solve for y.

Answer 13

*I