Question

Help me im having trouble on slopes

Answer 1

The slope-intercept form of an equation looks like this: y=mx+b

The m stands for the slope and the b stands for the y-intercept.

We need two points from the line to write out this equation.

For example (-2,0) and (1,2)

Now that we have the slope, we can plug it into our equation: y= 2/3x + b

To get b, our y-intercept, we just need to plug in one of the points found and solve. For example (-2,0)

Now that we have both our m and b values, we can plug them in to get our equation: y=2/3x + 4/3

Explanation:

`m= (y1-y2)/(x1-x2) = (0-2)/(-2-1)`

`m=(-2)/(-3) = (2)/(3)`

`0=(2)/(3)(-2)+b`

`0=-(4)/(3)+b\\ 0+(4)/(3)=-(4)/(3)+(4)/(3)+b\\ 0+(4)/(3)=b\\ (0*3)/(3)+(4)/(3)=b\\ (4)/(3)=b`