Question

Find the slope of a line perpendicular to the line whose equation is x + y = 3. Fully

simplify your answer.

Answer 1

Answer: 1

Explanation:

The given equation x + y = 3 can be rearranged to slope-intercept form, which is y = -x + 3.

To find the slope of this line, we can see that the coefficient of x is -1. Therefore, the slope of the line is -1.

To find the slope of a line perpendicular to this line, we need to take the negative reciprocal of the slope of the given line.

The negative reciprocal of -1 is 1/1 or simply 1. Therefore, the slope of a line perpendicular to the line x + y = 3 is 1.

Answer 2

To find the slope of a line perpendicular to another line, we need to first find the slope of the given line. The equation of the given line is x + y = 3. We can rewrite this equation in slope-intercept form (y = mx + b) by solving for y: y = -x + 3 So the slope of the given line is -1. To find the slope of a line perpendicular to this line, we know that it will have a slope that is the negative reciprocal of -1, which is 1. Therefore, the slope of a line perpendicular to the line whose equation is x + y = 3 is 1.