Question

Someone please help :')

Answer 1

Answer:

C. $y+4=-3(x-3)$

Step-by-step explanation:

The point-slope format is a way to represent the equation of a line. It involves using a point on the line and relating it to the slope in such a way that one can find any point on the line using the equation. One is asked to find the equation of a line in point-slope form. The general format for the point-slope form of a line is the following;

$y-h=m(x-k)$

Where the point on the line that is being used is ($h,k$). The parameter ($m$) represents the slope or rate of change in the line. The slope is often referred to as the ($\frac{rise}{run}$) and can be found using the following formula.

$\frac{y_2-y_1}{x_2-x_1}$

Where ($x_1,y_1$) and ($x_2,y_2$) are points on the line. As one can see the following points can be found on the line:

$(3,-4), (0, 5)$

Substitute these points into the slope formula and solve for the slope;

$\frac{y_2-y_1}{x_2-x_1}$

= $\frac{(5)-(-4)}{(0)-(3)}$

= $\frac{5+4}{0-3}$

= $\frac{9}{-3}$

= $-3$

Now substitute the slope into the given formula. As per the problem, one is supposed to use the point ($3, -4$) in the formula.

$y-h=m(x-k)$

Substitute the slope;

$y-h=-3(x-k)$

Substitute the point;

$y+4=-3(x-3)$