Write an aquation in standad form that satisfies the given conditions:
Paralled to the x-axis and through ( 4, -1)
If it is parallel to the x axis, then y = -1 forever and ever.
y = -1
or
0 x + y = -1
Thank you so much !
To find an equation in standard form for a line parallel to the x-axis, we know that the slope of the line is 0. When a line is parallel to the x-axis, it means that the y-coordinate remains constant for all points on the line.
Given the point (4, -1), we can see that the y-coordinate is -1. Now, we need to find the equation in standard form, which is Ax + By = C. Since the line is parallel to the x-axis, the gradient (or slope) is 0, and thus the coefficient of the x term is 0.
Therefore, the equation in standard form is:
0x + 1y = -1
Simplifying it further, we get:
0 + y = -1
Thus, the equation in standard form that satisfies the given conditions is:
y = -1.