Choose the correct graph for the linear equation 2x - 3y = 12.
a.y=-3x
b.y=3x+4
c.-3y=x-4
d.y=-3x-4
plz check if my answer is correct. My answer is c ^^;
none of those choices matches the equation. It can be written as
-3y = 12-2x
or
y = 2/3 x - 4
And of course, no graphs are shown here...
i just noticed that the Q was wrong sorry i meant to put this one, I'm so sorry
What is the equation of the line containing the two points (-4, 8) and (1, -7)?
To determine the correct graph for the linear equation 2x - 3y = 12, we need to simplify the equation and rearrange it into slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
Starting with the given equation:
2x - 3y = 12
We want to isolate y, so let's move the term with x to the other side:
-3y = -2x + 12
Next, divide both sides of the equation by -3 to solve for y:
y = (-2x + 12) / -3
Now, simplify the equation:
y = (2/3)x - 4
Comparing the equation (2/3)x - 4 with the given options:
a. y = -3x - incorrect (slope is 2/3, not -3)
b. y = 3x + 4 - incorrect (slope is 2/3, not 3)
c. -3y = x - 4 - incorrect (equation is not in slope-intercept form)
d. y = -3x - 4 - incorrect (slope is 2/3, not -3)
The correct answer is the equation y = (2/3)x - 4. So, your answer, option c, is incorrect. The correct graph for the linear equation is not included in the given options.