How do you find the slope of (6, -4) and (6, -11)?

Answer 1

slope is undefined.

To find the slope use the #color(blue)"gradient formula"#

#color(red)(|bar(ul(color(white)(a/a)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(a/a)|)))# where # (x_1,y_1)" and " (x_2,y_2)" are 2 coordinate points"# and m represents the slope.

Here, there are two points: (6,-4) and (6,-11).

let #(x_1,y_1)=(6,-4)" and " (x_2,y_2)=(6,-11)#

#rArrm=(-11+4)/(6-6)=(-7)/0#

Since division by zero is now undefinable, the slope is also undefinable.

This shows that the line is a vertical line that is parallel to the y-axis: graph{y-1000x+6000=0 [-10, 10, -5, 5]}

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Jameson Allen

To find the slope between two points, use the formula: ( m = \frac{{y2 - y1}}{{x2 - x1}} ). So, for the points (6, -4) and (6, -11), the slope would be ( m = \frac{{-11 - (-4)}}{{6 - 6}} ), which simplifies to ( m = \frac{{-11 + 4}}{{0}} = \text{undefined} ).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.