Select the equation of the line that passes through the point (5, 7) and is perpendicular to the line x = 4.
y = 4
x = 5
y = 7
x = 7
pls help
Select the appropriate slope and y-intercept for the equation of a line that passes through the point (-1, -2) and (-3, 10).
To find the equation of a line perpendicular to x = 4 and passing through the point (5, 7), we need to remember that the slope of a line perpendicular to x = k is undefined. This means the equation will be in the form x = a, where a is a constant.
In this case, the line passes through the point (5, 7), so the equation will be x = 5.
Therefore, the equation of the line that passes through the point (5, 7) and is perpendicular to the line x = 4 is x = 5.
To find the equation of the line that passes through the point (5, 7) and is perpendicular to the line x = 4, you need to consider the properties of perpendicular lines and use the point-slope form of a line.
1. Recall that a line is described by its equation in slope-intercept form, y = mx + b, where m represents the slope of the line and b represents the y-intercept.
2. Perpendicular lines have negative reciprocal slopes. This means that if the slope of one line is m, the slope of the line perpendicular to it is -1/m.
3. The given line, x = 4, is a vertical line with an undefined slope because it is parallel to the y-axis. This means that any line perpendicular to it will have a slope of 0.
4. Since the line you are looking for is perpendicular to x = 4 and passes through the point (5, 7), its equation will be in the form x = a, where a represents the x-coordinate of the point it passes through.
5. Therefore, the equation of the line that passes through the point (5, 7) and is perpendicular to x = 4 is x = 5.
So, the correct answer is x = 5.
horizontal line has form y = c
vertical line has form x = k
looking at the point(5,7) ----> y = 7