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:

$m = \frac{2}{3}$

and point:(-3,5)

The point-slope form equation is:

$y-5= \frac{2}{3} (x- - 3)$

This simplifies to:

$y-5= \frac{2}{3} (x + 3)$

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,

$m = \frac{23 - 14}{4 - 2} = \frac{9}{2}$

The equation is given by;

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

We plug in values to get;

$y-14= \frac{9}{2} (x-2)$

Expand:

$y = \frac{9}{2} x - 9 + 14$

The slope-intercept form is:

$y = \frac{9}{2} x + 5$

The correct choice is B