Question

(-3,2) (5,2) write in slope-intercept form.

a) y = 2x + 2
b) y = -2x + 2
c) y = 2x - 2
d) y = -2x - 2

Answer 1

The slope-intercept form of the line that goes through the points (-3,2) and (5,2), which is a horizontal line, is y = 2.

Step-by-step explanation:

The given points (-3,2) and (5,2) are used to write the equation of a line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Since the y-values of both points are the same, this indicates that the line is horizontal, meaning the slope (m) is zero and there is no rise between the two points. Therefore, the line does not incline upwards or downwards as we move along the x-axis, signifying a slope of 0. Consequently, regardless of the value of x, the value of y remains constant at 2. Thus, the slope-intercept form of the line that passes through these points is y = 2.