Question

Someone please answer this ill give you a brainliest

Answer 1

Answer:

$\displaystyle y=\frac{1}{2}x-2$

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

The points are (-6,-5) and (-4,-4), thus:

$\displaystyle m=\frac{-4+5}{-4+6}=\frac{1}{2}$

Knowing the value of the slope, the equation of the line is:

$\displaystyle y=\frac{1}{2}x+b$

The value of b can be found using any of the points in the equation and solving for b. Let's pick the point (-6,-5):

$\displaystyle -5=\frac{1}{2}(-6)+b$

Operating:

-5=-3+b

Solving:

b=-2

The equation of the line is:

$\boxed{\displaystyle y=\frac{1}{2}x-2}$