What is the y-intercept -2x+3y=12 Show work please
\(-2x+3y=12\\ 3y=2x+12\\ y=\frac{2}{3}x+\frac{12}{3}\\ y=\frac{2}{3}x+4\\ \)
Now it is in the form y=mx+b
the gradient is 2/3
and
the y intercept is 4
X-intercept: -6 or (-6,0)
Y-intercept: 4 or (0,4)
Do you understand the concept behind this? On the 2-dimensional Carteisan plane, there are two axes, X and Y (x is horizontal, y is vertical). The x-intercept is where your line intersects with the x axis, or the line y=0. The y-intercept is similar, but it is where your line intersects with the y-axis, or the line x=0, instead of the x axis. The way you would show work for this problem is by graphing. If you are inexperienced with graphing, I would suggest converting this equation to slope-intercept form (y = mx + b). You can do this by isolating the y.