```Question 487247
equation is y = 8x - 2

standard form of a linear equation is ax + by = c
slope intercept form of a linear equation is y = mx + b
point slope form of a linear equation is y - y1 = m(x - x1)

m is the slope
b is the y intercept

your equation is y = 8x -2

this is in the slope intercept form of a linear equation of y = mx  + b

m = 8
b = -2

the slope of your equation is 8
the y intercept of your equation is -2

the graph of your equation looks like this:
{{{graph(400,400,-2,2,-30,20,8x-2,-2)}}}

i drew a horizontal line at y = -2 so you can see that the equation crosses the y-axis at y = -2.

if you plot the values of y from the values of x from x = -3 to x = +3, you would get a table that looks like this:

<pre>
x        y = 8x-2     change in x    change in y
-3       -26                 -              -
-2       -18                 1              8
-1       -10                 1              8
0       -2                  1              8
1        6                  1              8
2        14                 1              8
3        22                 1              8
</pre>

the table shows that when x = 0, y = -2.
this means the y intercept is equal to -2.

the change in x column is the difference between the value of x in each row and the value of x in the row above it.

the change in y column is the difference between the value of y in each row and the value of y in the row above it.

you can see that when x change by a value of 1, the corresponding value of y changes by a value of 8.

that's your slope of 8 which is equal to the change in y divided by the change in x.

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