Where does the graph of the line 3x-4y=12 intersect the y axis

Answer 1

Hi Ariana,

The point at which a line goes thru the y axis is called the y-intercept. This point is represented by "b" in the slope-intercept form of a line: y = mx + b

We can "rewrite" your equation into this slope-intercept form using inverse operations and the y-intercept by will be easily identified.

3x - 4y = 12

3x - 4y - 3x = 12 - 3x

-4y = -3x + 12

Divide both sides of the equation by -4:

-4y = ( -3x + 12)

-4 -4

y= 3x - 3

4

The y-intercept will be -3. The line will intersect the y-axis at (0,-3)

Hope this helps Ariana!