Question

Find the equation of the linear function represented by the table below in slope-intercept form. x y -1 3 1 1 3 -1 5 -3

Answer 1

Answer:

• y = - x + 2

Step-by-step explanation:

Points given:

• (-1, 3), (1, 1), (3, -1), (5, -3)

Slope-intercept form:

• y = mx + b

Finding the slope using slope formula and the first two points:

• m = (1 - 3)/(1 - (-1)) = -2 / 2 = -1

Finding y-intercept using the slope and the first point:

• 3 = (-1)*(-1) + b
• 3 = 1 + b
• b = 3 - 1
• b = 2

So the equation is:

• y = - x + 2