Write an equation of the line satisfying the given conditions.
Horizontal line through ( -2, -5)
any horizontal line has the form
y = k
look at your point to find what k is.
So then would it be y= -5?
7/3-2/3x = 4-1/3x
To find the equation of a horizontal line, we need to determine the y-value that remains constant regardless of the x-value.
Since this line is horizontal, its slope is 0. Recall that the equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope is 0, which means that the y-value remains constant, so the equation will be in the form y = b.
To find the value of b, we can substitute the given point (-2, -5) into our equation.
So, substituting x = -2 and y = -5 into the equation y = b, we get:
-5 = b
Therefore, the equation of the horizontal line that passes through (-2, -5) is:
y = -5