Question

A line passes through the points ( - 14, – 6) and (6, – 6). write its equation in slope-intercept form.

A) y=−6
B) y=0
C) y=−1/2x
D) y=−6

Answer 1

The equation of the line passing through the given points (-14, -6) and (6, -6) in slope-intercept form is y = -6.

Step-by-step explanation:

To write the equation of a line in slope-intercept form, we need to find the slope and the y-intercept. The formula for the slope is: m = (y2 - y1) / (x2 - x1). Using the given points (-14, -6) and (6, -6), the slope is 0. Now that we have the slope, we can plug it into the slope-intercept form equation y = mx + b. Since the y-coordinate is -6 for both points, the y-intercept is also -6. Therefore, the equation of the line in slope-intercept form is y = 0x - 6, which simplifies to y = -6.