Question

Choose the graph below that correctly represents the equation 3x + 4y = 12.

graph of a line with a negative slope through the points (0,4) and (3,0)
graph of a line with a positive slope through the points (0, negative 4) and (3,0)
graph of a line with a negative slope through the points (0,3) and (4,0)
graph of a line with a positive slope through the points (0, negative 3) and (4,0)

Answer 1

Well if you start by finding the slope of the equation, you know that the graph has a negative slope, eliminating two answer. The slope of a equation in the form Ax+By=C
is -A/B. In this case, the slope if -3/4

Answer 2

Now the points given are all intercepts, so if you find the x and y intercepts of the equation , you can find the answer

Answer 3

For equations of Ax+By=C, the x-intercept is C/A and the y-intercept is C/B

Answer 4

in this equation the x-intercepts is (4, 0) and the y-intercept if (0,3) thus the answer is the third choice