Question

The question is in the screenshot.

Answer 1

slope (m) = (y2-y1)/(x2-x1)

= (-4 - 1 )/(2- -3 )

= -5/5 = -1

slope intercept form

y = mx + b

y = -x + b

from points given (2 ,-4)

x = 2 , y= -4

-4 = -2 +b

b = -2

y = -x -2

Answer 2

y = -x + (- 2)

or

y = -1x + (- 2)

Explanation:

Slope - intercept Form: y = mx + b

• y = output
• x = input
• m = slope
• b = y intercept

Step 1: Slope

To solve for slope, you have to use the two points given. The point format is (x,y). Then find the change in y and divide it by the change in x. You'll understand what I mean if you look below.

• 
  `\text{Slope} = (y_2 - y_1)/(x_2 - x_1)`

• 
  `\text{Slope} = (1 - (-4))/(-3 - 2)` ↑ Remember to match the coordinates. (1 and -3 are vertically matched. Just like -4 and 2
• 
  `\text{Slope} =(5)/(-5)`
• 
  `\text{Slope} =-1`

Step 2: Y-intercept

Input x and y points in the equation with the slope found

• y = -1x + b
• -4 = -1(2) + b
• -4 = -2 + b
• b = -2

Your equation is y = -x - 2

-Chetan K