Question

PLS HELP!! I WILL GIVE POINTS AND BRAINILIEST!!

Question 1 options:

What is the equation of the linear function in slope-intercept form described by this table?


x y

-2 5

-1 3

0 1

1 -1

2 -3


f(x) = x +



Question 2 options:



The lines represented by y = -5x + 10 and 5y = x + 15 are


perpendicular



parallel



neither perpendicular nor parallel



Question 3 options:



What is an equation of the line that is perpendicular to y = 3x - 9 and that passes through the point (3, 1)?


y = x +

Answer 1

Answer: 1 f(x) = -2x + 1

perpendicular

y = -1/3x + 2

Answer 2

Question 1 f(x) = -2x + 1

Question 2 The slope are perpendicular

Question 3 y = -1/3x + 2

Explanation:

Question 1:

Your slope is the change in y over your change in x. Looking at the table, as your y decreased by 2, you x increased by 1 or-2/1 which is the same as -2. Your y intercept is the point (0,b). This is when x is o. In the table, this would be point (0,1)

Questions 2

Put the second equation in the slope-intercept form of a line.

5y = x + 15 Divide both sides of the equation by 5

y = 1/5x + 3 Perpendicular slopes are opposite reciprocals of each other.

Question 3

I will use the slope (3), the x(3) and the y(1) to write the equation

The perpendicular slope would be -1/3

y = mx + b Plug is what I know and solve for b

1 = (-1/3)(3) + b

1 = -1 + b Add 1 to both sides

2 = b

y = -1/3x + 2