line L passes through point (2, -5) and is perpendicular to the line with equation y=7. determine the equation of line L
1 answer:
Answer:
The equation of the line L is
Step-by-step explanation:
we know that
The line y=7
Is a horizontal line (parallel line to the x-axis)
The slope of a horizontal line is equal to zero
A line L perpendicular to the given line must be a vertical line (parallel to the y-axis)
The slope of the line L is undefined
The line L passes through the point (2,-5)
therefore
The equation of the line L will be equal to the x-coordinate of the given point
You might be interested in
Answer:
<u>y = -2x + 7</u>
Explanation:
<em><u>y = mx + b</u></em>
<em><u /></em>
<em>m = slope</em>
<em>b = y-intercept</em>
<em>y = a given y coordinate</em>
<em>x = a corresponding x coordinate</em>
<em />
First, we need to find the slope (m).
1) (4, -1)
2) (2/3)
m = slope = =
=
= -2
plug in the values to the equation <u>y = mx + b</u>
<u />
-1 = -2(4) + b
-1 = -8 + b
7 = b
now, we can substitute in m and b into the equation y = mx + b
<u><em>y = -2x + 7</em></u>