Since we are given the slope and y-intercept we can write the line in "slope-intercept" form which is:
y=mx+b, where m is the slope and b is the y-intercept...
y=3x/4-4 or more neatly
y=(3x-16)/4
Now they want the equation in standard form: ax+bx=c so we need to have both x and y on one side of the equal sign...
Multiply both sides by 4
4y=3x-16 subtract 3x from both sides
-3x+4y=-16
Now your answer MAY be a,b, and c equal -3,4, and -16 respectively.
HOWEVER, by convention the coefficient of x should be expressed as a positive value, thus you SHOULD divide the above solution by -1 to get:
3x-4y=16 making a,b, and c equal 3, -4, and 16 respectively.
If your answer is -3, 4, and -16, you should point out to whomever assigned it that technically this answer is incorrect... :P
