What is the equation of a line that passes through points (0, 4) and (-4, -8)? y = 2x + 4 y = 2x - 4 y = 3x + 4 y = 3x - 4

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What is the equation of a line that passes through points (0, 4) and (-4, -8)? y = 2x + 4 y = 2x - 4 y = 3x + 4 y = 3x - 4

Mathematics
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start by finding the slope
Well first find the slope, using the following formula: \[m = \frac{ y_{2}-y _{1} }{ x _{2}-x _{1} }\] where your coordinates represent \[(x_1,y_1)~~\text{and}~~(x_2,y_2)\] Once you manage to get that, plug in m and your first coordinates in the point - slope form: \[y-y _{1}=m(x-x _{1})\] do some little algebra and eventually you will have slope - intercept form \[y=mx+b\]
a

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That was fast
|dw:1440081520066:dw|
If you find the slope you can also eliminate two of the options right away
c
do you have 5 mnts to review the slope quick ? it keeps showing up in every problem, never stops
ok
|dw:1440081878302:dw| a quick image as well
slope is a "number" that gives you some idea about how "steep" a line is
i kind of remember
in our present problem, we're given two points, connect them : |dw:1440081952473:dw|
suppose you're walking from left side : |dw:1440082023122:dw|
and want to climb that ramp, is it easy or difficult ?
d
why
its steep
ofcourse it is difficult because it is too much steep (slope is too much)
good, "how much" steep it is ?
see, "steep", "very steep", "mind blowingly steep" are not mathematical words we want to quantify the steepness, so we invent "slope"
steep
slope = rise / run look at the ramp, for every "1 foot" that you want to go to the right, you need to climb up a height of "3 feet" |dw:1440082367603:dw|