Question

I've been out, and need help. i have been given 1 hour to complete this exam. i have half done and need help with these. please help?

Answer 1

QUESTION 1

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

`y-y_1=m(x-x_1)`

Given slope:

`m = (2)/(3)`

and point:(-3,5)

The point-slope form equation is:

`y-5= (2)/(3) (x- - 3)`

This simplifies to:

`y-5= (2)/(3) (x + 3)`

The correct option is D.

QUESTION 2

We use any two points from the table to find the required equation.

(2,14) and (4,23)

The slope is given by the formula,

`m = (23 - 14)/(4 - 2) = (9)/(2)`

The equation is given by;

`y-y_1=m(x-x_1)`

We plug in values to get;

`y-14= (9)/(2) (x-2)`

Expand:

`y = (9)/(2) x - 9 + 14`

The slope-intercept form is:

`y = (9)/(2) x + 5`

The correct choice is B