Question 238117
the equation is y = 4 - 3x.


the coordinates are (x,y) where x is the x-coordinate and y is the y-coordinate.


since you have (x,y) = (3,...), then the x-coordinate is 3.


substitute x = 3 in your equation and solve for y.


your equation becomes y = 4 - 3*3 = 4 - 9 = -5


your missing coordinate is -5 to make (x,y) = (3,-5)


a graph of your equation looks like:


{{{graph(400,400,-5,5,-5,5,4-3x)}}}


the correct form of your equation is y = -3x + 4


The higher order term is always to the left of the lower order term.


order has to do with the exponents.


x^2 is higher order than x is higher order than 4


your equation is in the slope-intercept form of the equation for a straight line.


that form is y = mx + b where m is the slope and b is the y-intercept.


the slope of your equation is -3 and the y-intercept is 4


the y-intercept is the value of y when x = 0 which comes out to be 4 as can be seen in the graph.


the slope of -3 means that if x increases 1 unit, then y decreases 3 units.


that's why in your graph, when x = 0, y = 4, and when x = 1, y = 1, and when x = 2, y = -2


if you have the time, go through this <a href = "http://www.wtamu.edu/academic/anns/mps/math/mathlab/" target = "_blank">beginning, intermediate, and college algebra online tutorial from west texas a&m</a>.   It will help you.