Question

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

Answer 1

Slope =-2

y-intercept = -1

Explanation:

`\mathrm{Slope}=(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=(-1-5)/(0-\left(-3\right))\\\\m=(-1-5)/(0+3) \\\\m = (-6)/(3) \\\\Simplify\\\\m = -2`

Slope = -2

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

y-intercept = ?

Substitute values into y=mx+b

`5 = -2(-3) +b\\\\5 =6+b\\\\5-6=b\\\\-1=b\\\\b =-1`