Question

Write the slope-intercept equation for the line having the given information.

(1, -2) and (5, -2) on the line.
What is the slope-intercept equation of the line?

Answer 1

y = - 2

Step-by-step explanation:

note the y- coordinates of both points are equal , both - 2

This indicates the line is horizontal with equation

y = c ( c is the value of the y- coordinates the line passes through )

the line passes through (1, - 2 ) and (5, - 2 ) , with y- coordinates of - 2

The equation of the line is therefore

y = - 2

Answer 2

The slope-intercept equation of a line that passes through the points (1, -2) and (5, -2) is y = -2, as the line is horizontal with a slope of 0 and intersects the y-axis at -2.

Step-by-step explanation:

To find the slope-intercept equation of a line, we need to know the slope and the y-intercept of the line. The slope (m) can be determined by the rise over run, that is, the change in y divided by the change in x between two points on the line. In this case, the points (1, -2) and (5, -2) indicate that the line is horizontal, as the change in y (rise) is 0. Therefore, the slope of the line is 0.

Since the y-coordinate for both points is the same (-2), the line crosses the y-axis at -2. Thus, the y-intercept (b) is -2. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. Substituting in our values, the equation becomes y = 0x - 2, which simplifies to y = -2.