graph line through the point (5,-3) with undefined slope?

Question

Thank you all

Answer 1

The slope intercept form of the line is

y = mx + b where m = slope and b = y-intercept

Since (5, -3) lies on the line then

-3 = 5m + b

ie 5m + b - 3 = o

So any line in which m = (3 - b)/5

eg b = -2, m = 1 So y = x - 2
b = 8, m = -1 So y = 8 - x ....... and so forth

Graphing m against b would give all the values of m, b that satisfy the given condition.

Answer 2

The key to this is how you or others are using the term 'undefined.' In every day sense the term would simply mean 'we haven't told you what it is' but it has a much tighter meaning in mathematics.

The gradient of a slope is change in y divided by change in x or delta y/delta x.

When y changes but there is no change in x then the gradient is delta y/0. Any number divided by 0 is undefined. The line could be an infinite number of straight vertical lines.

If this is the case then one of these lines would be the vertical line passing through x = 5 . It would pass through y = -3 but it would also pass through all other values for y.

Answer 3

Set the slope equal to y-y of 1 over x-x of 1. Then cross multiply and solve for y, then graph the resulting line. For example, the first one will be 2/5=y-4/x+1. These are the following steps: 1)2x+2=5y-20 Add 20 to both sides 2)2x+22=5y Divide both sides by 5 3)y=(2/5)x+(22/5) And graph that line. I think.

Answer 4

The formula for calculating the slope of a line is given by:
m = (y2 - y1) / (x2 - x1).

Since the slope is undefined, it tells you that x2 - x1 = 0. That is, x2 = x1. In other words, x is fixed on this entire line regardless of the value of y. Hence, this indicates that the line passing through (5, -3) is a vertical line.

Because the given line passes through the point (5, -3), we pick an arbitrary point with the same x-coordinate from the given point, say (5, 0). We then connect this two points (since two arbitrary points determine a line). In addition, the equation of this line is x = 5.

Answer 5

Undefined Slope means that the Gradient of the line is undefined...so for the gradient to be undefined, we need to have a straight vertical line, its graident is always some value divided by 0 thus, it is undefined. then, just draw the line through the co-ordinate points (5,-3) ...hope you get it :)

Answer 6

Draw any two half straight lines, not coincident, through the given point (5, -3). They meet at (5, -3), but the graph defined by these two line segments does not have a slope defined at that point.

Answer 7

Undefined slope means verticle, so x = -3 for all y.