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Answer :

Amysun2025go

Answer:

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 [tex]y-y_1=m(x-x_1)[/tex], where [tex](x_1, y_1)[/tex] and m is the slope

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

[tex]x_1= -4 \\y_1=-7 \\m=-1/2[/tex]

Now substitute into the formula:

[tex]y-y_1=m(x-x_1)[/tex]

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

We can simplify from above:

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

Hope this helps!

Djtwinx017go
Given the point, (-4,-7), and the slope (m) of -1/2:

We can plug these values into the point-slope form: y -y1 = m(x — x1)

y -y1 = m(x — x1)
y — (-7) = -1/2(x — (-4))

y + 7 = -1/2(x + 4) ← This is the point-slope form.

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