Use the coordinates of the labeled point to find the point-slope equation of the line

, option b.

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, is given by:

In which m is the slope and is the point.

Point (2,-5)

This means that . So

Finding the slope:

When we have two points, the slope is given by the change in x divided by the change in y.

In this question, we have points (0,3) and (2,-5). So

Change in y: 3 - (-5) = 3 + 5 = 8

Change in x: 0 - 2 = -2

So

Then, the equation of the line is:

, option b.

f(x) = 2x³ - 3x² + 7

f(-1) = 2(-1)³ - 3(-1)² + 7

=> f(-1) = 2(-1) - 3(1) + 7

=> f(-1) = -2 -3 + 7

=> f(-1) = 2

f(1) = 2(1)³ - 3(1)² + 7

=> f(1) = 2(1) - 3(1) + 7

=> f(1) = 2 -3 + 7

=> f(1) = 6

f(2) = 2(2)³ - 3(2)² + 7

=> f(2) = 2(8) - 3(4) + 7

=> f(2) = 16 - 12 + 7

=> f(2) = 11