You can put this solution on YOUR website! plot the points and then make the graph.
since this is a linear equation, you need only 2 coordinate points.
try x = 0 and x = 5
when x = 0, 3x + y = 4 becomes y = 4 so the coordinate point is (0,4)
when x = 5, 3x + y = 4 becomes 15 + y = 4 becomes y = -11 so the coordinate point is (5,-11)
if you solve for y in the equation you will get:
3x + y = 4 becomes:
y = -3x + 4
slope is -3
y intercept is 4
note that the point (0,4) is the y intercept which is the value of y when x is equal to 0.
note that the point (5,-11) is 5 units to the right of (0,4) and 15 units down from (0,4).
that's a change of -15 units for y and a change of +5 units for x which makes the slope equal to -15 / 4 = -3.
a graph of this equation will look like this:
