Question

What is the slope of the line below?

Answer 1

2

Explanation:

Equation of line: y=2x + 1

y=mx+b

m = slope of line

m = 2

Extra:

Slope =
`\bold{(y_2-y_1)/(x_2-x_1)}`

`\bold{\left(x_1,\:y_1\right)=\left(-2,\:-3\right),\:\left(x_2,\:y_2\right)=\left(3,\:7\right)}`

`\bold{m=(7-\left(-3\right))/(3-\left(-2\right))}`

y intercept:

`\bold{y=2x+b}`

Plugin
`\bold{\left(-2,\:-3\right)\mathrm{:\:}\quad \:x=-2,\:y=-3}`

`\bold{-3=2\left(-2\right)+b}`

Isolate b:
`\bold{-3=2\left(-2\right)+b}`

b = 1