Question

A submarine is sinking below sea level. The following table displays various times (in minutes) after the vessel started to sink and the amount of meters from sea level that the vessel has descended to. Time (in minutes)Distance from Sea Level (in meters) 5−16 12−30 16−38 23−52 Write a linear equation in point-slope form that models the data in the table. Step 1: Choose two points in the table, and find the slope of the line using the slope formula, m=y2−y1x2−x1. Use the keypad to enter the answer in the box.

Answer 1

y - 16 = 2(x -5)

Explanation:

Linear equation in point-slope form:

`\bf (5 , 16) ~~; ~~ x_1 = 5 \ ; \ y_1 = 16\\\\(12, 30) ~;~ x_2 = 12 ~ ;y_2 = 30`

• Find the slope using the slope formula.

`\boxed{\bf Slope= (y_2-y_1)/(x_2-x_1)}`

`\sf = (30-16)/(12-5)\\\\\\= (14)/(7)\\\\\\=2`

• Point slope form:

`\boxed{\bf y - y_1 = m(x-x_1)}`

y - 16 = 2*(x - 5)

Answer: y -16 =2(x - 5)