-4,-7; m= -1/2 in point slope form

y+7=-1/2(x+4)

Step-by-step explanation:

Hi there!

We are given the point (-4, -7), and a slope of -1/2, and we want to write the equation of the line in point-slope form.

Point-slope form is given as , where and m is the slope

We have everything we need to write the equation, let's just label everything to avoid any confusion.

Now substitute into the formula:

y--7=-1/2(x--4)

We can simplify from above:

y+7=-1/2(x+4)

Hope this helps!

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)