Question 468133
equation is y = -8x + 4
equation is in slope intercept form of y = mx + b
m is the slope and b is the y intercept
that makes the slope in your equation equal to -8 and the y intercept in your equation equal to 4.
a graph of your equation is shown below:
{{{graph(600,600,-2,2,-10,10,-8x+4)}}}
you can see that the y intercept is 4.
this is the value of y when x = 0.
to determine whether the slope is accurate, look at the graph when x = 0 and when 
y = 0.
you may not be able to see the numbers clearly from the graph, so solve the equation for the values you can't see.
when x = 0, y = 4 (that's the y intercept we looked at earlier).
when y = 0, the equation becomes 0 = -8x + 4
add x to both sides of this equation to get 8x = 4
divide both sides of this equation by 8 to get x = 1/2
so we have 2 points.
they are:
x1 = 0, y1 = 4
and:
x2 = 1/2, y2 = 0
the slope of the equation of a line is (y2-y1)/(x2-x1)
based on the points that we have, this equation becomes (0 - 4) / (1/2 - 0) which becomes (-4) / (1/2) which becomes -8.
the slope is -8 confirming the slope intercept form of the equation gave us the right answer.