Final answer:
The equation of a line perpendicular to line m can be written as y = (-1/2)x + b, where b is a constant.
The answer is option ⇒1
Step-by-step explanation:
To find a line that is perpendicular to line m, we need to determine the slope of line m and then find the negative reciprocal of that slope.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be calculated using the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
Given the points (6, 10) and (4, 6), we can calculate the slope of line m:
slope = (6 - 10) / (4 - 6)
= -4 / -2
= 2
To find a line perpendicular to line m, we need to find the negative reciprocal of the slope. The negative reciprocal of 2 is -1/2.
Therefore, the equation of a line that is perpendicular to line m can be written in the form y = (-1/2)x + b, where b is the y-intercept.
Since we don't have enough information to determine the y-intercept, we cannot provide a specific equation that represents a line perpendicular to line m. However, any equation in the form y = (-1/2)x + b, where b is a constant, represents a line that is perpendicular to line m.
To summarize:
- The slope of line m is 2.
- The equation of a line perpendicular to line m can be written as y = (-1/2)x + b, where b is a constant.
The answer is option ⇒1
Your question is incomplete, but most probably the full question was:
Line m passes through the points (6, 10 and (4, 6). Which equation represents a line that perpendicular to line m
y = (-1/2)x + b
y = 2x + b
y = -1/2x + b
y =-2x + b