Question

what is the slope of the line going through the points (-10, 5) and (10, -5)? show your work using the formula

Answer 1

Answer: -1/2

Work Shown

`\text{Given Points: }(x_1,y_1) = (-10,5) \text{ and } (x_2,y_2) = (10,-5)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_(2) - \text{y}_(1)}{\text{x}_(2) - \text{x}_(1)}\\\\m = (-5 - 5)/(10 - (-10))\\\\m = (-5 - 5)/(10 + 10)\\\\m = (-10)/(20)\\\\m = -(1)/(2)\\\\`

Answer 2

y=-1/2x

Explanation:

Find the gradient using the following formula y2-y1/x2-x1.

then use the equation y=mx+C

where m is the gradient, y and X the any of the two points given in your question. Then find the y intercept C ,in this case it is zero.