Question

You can use any two points in the table. For (5,−16) and (12,−30), m=−30−(−16)12−5. Subtract in the numerator and denominator, then simplify the fraction. Step 2: Create an equation in point-slope form using the simplified slope and a point in the table. There is more than one correct answer. Use the keypad to enter the answers in the boxes.

Answer 1

the equation of the line is,

y = -2x - 6

Explanation:

the given co - ordinates are:

x1, y1 = 5, -16

x2, y2 = 12, -30

slope, m = y2 - y1 / x2 - x1

= -30 + 16 / 12 - 5

= -14/7 = -2

equation of the line in point - slope form is,

y = mx + b

let's take x1, y1 as x, y co - ordinate to find the constant b:

-16 = -2(5) + b

-16 = -10 + b

-16 + 10 = b

b = -6

thus, the equation of the line is,

y = -2x - 6