Respuesta :

Answer:

  • See below

Step-by-step explanation:

#1

Points given:

  • (4, -6), (-1, 4)

Find the slope using slope formula:

  • m = (y₂ - y₁)/(x₂ - x₁) = (4 - (-6))/(-1 - 4) = 10/-5 = -2

#2

Equation of the line in slope-intercept form:

  • y = mx + b

Given:

  • slope, m = -3
  • the y- intercept b = 11

The line is:

  • y = -3x + 11

#3

The y-intercept is the intersection of the line with the y-axis:

  • b = -1 as per graph

To find the slope select two points and use the slope formula as shown above.

Points (0, -1) and (1, 1), the slope is:

  • m = (1 - (-1))/(1 - 0) = 2/1 = 2

The line is:

  • y = 2x - 1