Question

A line contains the points (−26, −37) and (−32, −61) .

What is the slope of the line in simplified form?

Answer 1

Slope: 4

Equation: y = 4x + 67

Explanation:

• Line mx+b passes through points
  `\bold{\left(-26,\:-37\right)\mathrm{,\:}\left(-32,\:-61\right)}`

Find Slope (m):
`\bold{(y_2-y_1)/(x_2-x_1)}`

`\bold{\left(x_1,\:y_1\right)=\left(-26,\:-37\right),\:\left(x_2,\:y_2\right)=\left(-32,\:-61\right)}`

`\bold{m=(-61-\left(-37\right))/(-32-\left(-26\right))}`

Refine: m = 4

Find y intercept (b): Plug 4 into y=mx+b

y=4x+b

Plug in
`\bold{\left(-26,\:-37\right)\mathrm{:\:}\quad \:x=-26,\:y=-37}`

-37 = 4(-36) + b

Solve for b: b = 67

Equation: y = 4x + 67

m: 4

y: 67

Answer 2

4

Explanation:

To find the slope you must use the slope formula.

it is y2-y1/x2-x1. with the points (-26,-37) and (-32,-61)

you do -61 minus -37 divided by -32 minus -26. first do -61 minus -37 = -24. then do -32 minus -26 = -6. And -24 divided by -6 = 4. the slope is 4.

Hope this helps. Sorry if its confusing.