The directions of this problem is "Write an equation in slope intercept create for the line that satisfies the given conditions"
The equation of a line in slope-intercept create looks choose the following: y = mx + b ,
wbelow m is the slope of the line and also b is the y-intercept.
You are watching: Slope intercept form with undefined slope
Given any type of 2 points (x1, y1) and (x2, y2) on a line, the slope (m) = (y2-y1)/(x2-x1).
Whenever the slope (m) is unidentified it implies that when you try to calculate the slope provided any 2 points on the line you"ll end up via a zero in the denominator, which is uncharacterized. That is, withan uncharacterized slope you finish up through a vertical line, which has actually the equation "x=some number".
That is, m = (y2-y1)/(x2-x1) = (y2-y1)/0 = undefined. This implies that x2=x1. So x is the exact same for any value of y on the line, which is why the equation is "x=some number" and also the line is vertical.
So the equation of a line, in slope-intercept form, via an unidentified slope (m=undefined) crossing with the point (-3, 5) is: x= -3 , which is a vertical line.
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