Question

Can someone help me with this? Please and thank you

Answer 1

Given the line shown in the figure passes through the points (-3, -4) and (1, 2)

We will write the equation of the line.

First, we will find the slope of the line using the following formula:

`slope=m=(rise)/(run)=(y_2-y_1)/(x_2-x_1)`

Substitute with the given points:

`m=(2-(-4))/(1-(-3))=(2+4)/(1+3)=(6)/(4)=(3)/(2)=1.5`

The equation of the line in point-slope form will be as follows:

`\begin{gathered} y+4=1.5(x+3) \\ or \\ y-2=1.5(x-1) \end{gathered}`

Convert tot he slope-intercept form, so, the equation will be:

`\begin{gathered} y=1.5(x+3)-4 \\ y=1.5x+4.5-4 \\ \\ y=1.5x+0.5 \end{gathered}`

Now, we will check the options to see the correct equations.

So, the answer will be, we will select the options:

A. y+4 = 1.5 (x+3)

B. y = 1.5x + 0.5

C. y - 2 = 1.5 (x - 1)