A. 3/4
B. - 3/4
C. -2
D. 4/3
2007-07-07 09:47:20 · 9 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
the y-intercept (aka slope intercept) form of the line will give you your slope
formula:
y=mx+b where the numerical value for m is the slope
4x-3y=6 so you have to take this equation and solve it for y
4x-3y=6 subtract both sides by 4x & simplify
4x(-4x)-3y=6(-4x)
-3y=6-4x divide both sides by -3 & simplify
-3y/-3=(6-4x)/-3
y= -2+4x/-3 switch around the right side of equation to match the formula above
y = (4/3)x - 2 the fraction in the parenthesis is your slope
SO YOUR ANSWER IS::::D. 4/3
2007-07-07 13:46:51 · answer #1 · answered by bnhawk03 3 · 1⤊ 0⤋
Let us rewrite that equation in the standard form of y = mx + c
-3y = - 4x + 6
y = 4x/3 - 2
So, it is a straight line with a slope of 4/3 and an intercept of - 2. D is the right answer for you.
2007-07-07 09:56:02 · answer #2 · answered by Swamy 7 · 0⤊ 0⤋
Hey there!
Recall the slope-intercept form of the line, y=mx+b, where m is the slope and b is the y-intercept. Our main goal is to solve the above equation for y as such.
4x-3y=6 -->
-3y=6-4x -->
3y=4x-6 -->
y=4/3x-6/3 -->
y=4/3x-2
So the slope of the line is 4/3.
Hope it helps!
2007-07-07 10:07:24 · answer #3 · answered by ? 6 · 0⤊ 0⤋
y = mx + c
-3y = -4x + 6
3y = 4x - 6
y = 4/3 x - 6
m is the slope
basically, when doing algebra, just move the terms around to you get what you are looking for
2007-07-07 09:50:17 · answer #4 · answered by Anonymous · 0⤊ 0⤋
3y 6
2017-01-14 15:03:00 · answer #5 · answered by Anonymous · 0⤊ 0⤋
The answer is D.
Taking the derivative of that equation
3y- 4x=6 ---> 4/3x+6/3
dx/dy= 4/3
2007-07-07 11:20:40 · answer #6 · answered by titti 2 · 0⤊ 0⤋
3y = 4x - 6
y = (4 / 3) x - 2
Slope = 4 / 3
ANSWER D
2007-07-11 08:39:15 · answer #7 · answered by Como 7 · 0⤊ 0⤋
-3y=-4x+6
y=-4/-3x+6
y=4/3x+6
the slope is 4/3
2007-07-07 10:32:38 · answer #8 · answered by Yaasi 3 · 0⤊ 0⤋
D.
2007-07-07 09:50:27 · answer #9 · answered by oregfiu 7 · 0⤊ 0⤋