Question

Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.

m = -1, (-7, -4)

The equation of the line in the form Ax + By = C is [ ]. ​(Simplify your answer. Use integers or fractions for any numbers in the​ equation.)

Answer 1

that was incorrect

Answer 2

that was incorrect. write it in standard form

Answer 3

To find the equation of the line, we can use the point-slope formula: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Substituting the slope m = -1 and the point (-7, -4), we have:
y - (-4) = -1(x - (-7))
y + 4 = -x - 7

Now, let's rearrange the equation to the form Ax + By = C:
x + y + 11 = 0

Therefore, the equation of the line with a slope of -1 that passes through the point (-7, -4) is x + y + 11 = 0.

Answer 4

I apologize for the mistake. Let's correct it.

Using the point-slope formula, we have:

y - y1 = m(x - x1)

Substituting m = -1 and the point (-7, -4), we have:

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

Now, let's rearrange the equation to the form Ax + By = C:

x + y + 7 = 0

Therefore, the equation of the line with a slope of -1 that passes through the point (-7, -4) is x + y + 7 = 0.

Answer 5

Apologies once again for the mistake. Let's write the equation in standard form.

Starting with the equation we derived:

y + 4 = -x - 7

Rearranging the equation by bringing all the terms to one side:

x + y + 7 = 0

Therefore, the equation of the line with a slope of -1 that passes through the point (-7, -4) in standard form is x + y + 7 = 0.