Question

What is the slope of the line that goes through (2,-3) and (-4,5)

Answer 1

Formula for slope:
`(y2-y1)/(x2-x1)`
Plug in:
`(5-(-3))/(-4-2) = (8)/(-6) = -(4)/(3) or -1.333333`
Slope:
`- (4)/(3)`

Here's how to plug it into point slope if you'd like to know for future reference. :)
Formula for point-slope:
`y - y1 = m(x-x1)` where m = slope
Plug in:
`y - (-3) = - (4)/(3)(x - 2)`
Solve:
`y + 3 = - (4)/(3)x - (13)/(5)`
Add three both sides to get:
`y = - (4)/(3)x + (2)/(5)`
And once you have solved, the above equation is now in slope-intercept form.
For further reference, slope intercept form is:
`y = m(x) + b`