Question

GIven the equation LaTeX: y=\frac{2}{3}x-1y = 2 3 x − 1, determine the slope of the line.

Answer 1

The general equation for a linear equation is $y=mx+c$

• y is the y-coordinate
• x is the x-coordinate
• m is the gradient of the slope
• c is where is passes through the y axis

So if you breakdown this equation ($y=\frac{2}{3} x-1$) you are able to see that 2/3 is in the same spot as 'm' which is the gradient or slope of the line.

Also if there was a negative infront of 'm' then the gradient would slope down '\' instead of up '/'