How do you use a system of equations to find the equation of a line, in slope-intercept form that contains the given points, (-2, 1) and (8,1)?

1 Answer
smendyka
Jan 13, 2017

See the full solution process below.

Explanation:

Because both points have the same #y# value we know this line is a vertical line.

a vertical line has the formula:

#y = y_1# or in this case #y = 1#

The slope-intercept form of a linear equation is:

#y = color(red)(m)x + color(blue)(b)#

In this case, because there is no #x# term in the equation the slope must be #0# and we know the y-intercept is #1#. Therefore the slope-intercept form of the equation for this line is:

#y = color(red)(0)x + color(blue)(1)#

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