Question

Helaine graphed the equation 12x - 4y = 3. What was the slope of Helaine's line?

Answer 1

Answer:  The slope of the graph is 3.

Step-by-step explanation:

The equation of a line in slope intercept for is given by :-

$y=mx+c$, where m is the slope of the line.

The given equation of  the line graphed by Helaine = $12x - 4y = 3$

Now, rewrite the above equation in slope-intercept form by adding 4y  and  subtracting 3 from both sides , we get

$4y=12x-3$

Divide 4 on both sides , we get

$y=3x-\dfrac{3}{4}$ which is the slope-intercept form.

$\Rightarrow\text{Slope}=3$

Hence, the slope of Helaine's line =3

Answer 2

Answer:

The slope of this line is 3.

Step-by-step explanation:

Solve 12x - 4y = 3 for y to obtain the equation in slope-intercept form:

Add 4y to both sides, obtaining 12x = 3 + 4y

Subtract 3 from both sides:  12x - 3 = 4y

Finally, divide all terms by 4:  y = 3x - 3/4

The slope of this line is 3.