Respuesta :

Answer:

2

Step-by-step explanation:

Equation of line: y=2x + 1

y=mx+b

m = slope of line

m = 2

Extra:

Slope = [tex]\bold{\frac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\bold{\left(x_1,\:y_1\right)=\left(-2,\:-3\right),\:\left(x_2,\:y_2\right)=\left(3,\:7\right)}[/tex]

[tex]\bold{m=\frac{7-\left(-3\right)}{3-\left(-2\right)}}[/tex]

y intercept:

[tex]\bold{y=2x+b}[/tex]

Plugin [tex]\bold{\left(-2,\:-3\right)\mathrm{:\:}\quad \:x=-2,\:y=-3}[/tex]

[tex]\bold{-3=2\left(-2\right)+b}[/tex]

Isolate b: [tex]\bold{-3=2\left(-2\right)+b}[/tex]

b = 1