Question

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

The slope of the graph is

Answer 1

The slope of this line is 3.

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.

Answer 2

Answer: The slope of the graph is 3.

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-(3)/(4)` which is the slope-intercept form.

`\Rightarrow\text{Slope}=3`

Hence, the slope of Helaine's line =3