Question

I need help with my math

Answer 1

The fourth choice: y+3 = 1(x+2); y= x-1

Step-by-step explanation:

The point slope form of a linear equation is

`y-y_0=m(x-x_0)`

where (x0,y0) is a point on the line and m is the slope.

Now we first calculate the slope.

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

therefore, we have

`y-y_0=1(x-x_0)`

Now we use (x0, y0) = (-2, -3) and get

`y-(-3)_{}=1(x-(-2))`
`\boxed{y+3=1\mleft(x+2\mright)}`

which is our equation in point-slope form.

Now, we convert the equation above into the slope-intercept form.

Subtracting 3 from both sides gives

`y+3-3=x+2-3`
`\boxed{y=x-1}`

which is the equation in slope-intercept form.

Hence, the answer to the question is

`y+3=1(x+2);y=x-1`

which is the fourth option.