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A line passes through the points (-3, 5) and (0, -1). What is the slope and y-intercept of this line?

Respuesta :

Answer:

Slope =-2

y-intercept = -1

Step-by-step explanation:

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-3,\:5\right),\:\\\left(x_2,\:y_2\right)=\left(0,\:-1\right)\\\\m=\frac{-1-5}{0-\left(-3\right)}\\\\m=\frac{-1-5}{0+3} \\\\m = \frac{-6}{3} \\\\Simplify\\\\m = -2[/tex]

Slope = -2

(-3,5)=(x,y)

y-intercept = ?

Substitute values into y=mx+b

[tex]5 = -2(-3) +b\\\\5 =6+b\\\\5-6=b\\\\-1=b\\\\b =-1[/tex]

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