Respuesta :
The equation of the line that passes through point P and is perpendicular to the line y = -3 is x = 4
Step-by-step explanation:
The equation of a line is y = m x + b, where m is the slope of the line and b is the y-intercept
- If the line is horizontal, then its equation is y = b, where b is the y-coordinate of all points on the line
- If the line is vertical, then the equation of the line is x = a, where a is the x-coordinate of all the points on the line
- The horizontal and vertical lines are perpendicular
∵ The line is perpendicular to the line y = -3
∵ The given line y = -3 is a horizontal line
∴ The perpendicular line to the given line is a vertical line
∴ We want to write the equation of a vertical line
∵ The equation of the vertical line is x = a
∵ a is the x-coordinate of all point on the line
∵ The line passes to point P (4 , -6)
∴ a = 4
∴ The equation of the line is x = 4
The equation of the line that passes through point P and is perpendicular to the line y = -3 is x = 4
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You can learn more about the linear equation in brainly.com/question/1284310
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The equation of the line that passes through point P(4,-6) and is perpendicular to the line y = -3 is x = 4
The slope-intercept form of the equation of a line is:
y = mx + c
where m is the slope
c is the y-intercept
The equation of the given line is:
y = -3
Comparing y = -3 with y = mx + c
The slope, m = 0
This means that, y = -3 is a vertical line
Any line that is perpendicular to y = -3 will be a perpendicular line
Since the perpendicular line passes through the point P(4, -6), the equation of the perpendicular line is:
x = 4
Learn more here: https://brainly.com/question/17684243
