Question

A line has a slope of 0 and passes through the point ( – 4, – 3). Write its equation in slope-intercept form.

Answer 1

The equation of a line with a slope of 0 passing through the point (-4, -3) is y = -3, where -3 is the y-intercept.

Step-by-step explanation:

To determine the equation of a line in slope-intercept form, which is y = mx + b, we need the slope (m) and the y-intercept (b). In this case, we are given that the slope of the line (m) is 0, and it passes through the point (-4, -3). Since the slope is 0, the line is horizontal and does not rise vertically regardless of how much it moves horizontally. This means the value of y remains constant on the line.

The y-coordinate of the point through which it passes is -3, which is actually the y-intercept for this line because a line with a zero slope will have the same y-value across all x-values. Therefore, the equation of the line is simply y = -3, where -3 is the y-intercept (b).

Answer 2

Answer: y+3=0

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1). M stands for slope and x1 and y1 are the coordinates. Here we know the slope is 0 and the coordinate that this line passes through is (-4,-3) so all we have to do is substitute.

y - (-3) = 0(x - (-4))

Simplify to get

y + 3 = 0