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.