Question

Question 4✍✍

Find the equation of a line passing through (-2, 3) and having a slope of -1.

A. x + y = 5
B. x + y = 1
C. x + y = -5
D. x + y = -1

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Answer 1

B. x + y = 1

Explanation:

We can use the point-slope form of the equation of a line to solve this problem. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope of the line, and (x1, y1) is a point on the line.

We are given that the line passes through the point (-2, 3) and has a slope of -1. Substituting these values into the point-slope form, we get:

y - 3 = -1(x - (-2))

Simplifying the expression on the right side:

y - 3 = -x - 2

Adding 3 to both sides:

y = -x + 1

Now we can rearrange the equation so that it is in standard form, which is of the form Ax + By = C:

x + y = 1

Therefore, the answer is B. x + y = 1.

Answer 2

option B

x + y = 1

Explanation:

equation of a line for a point slope form is written as,

y - y1 = m (x - x1)

by substituting the values in the equation,

y - 3 = -1(x + 2)

y - 3 = -x - 2

x + y = -2 +3

x + y = 1