Question

How do you find the slope and y intercept to sketch `y=x-10`?

Answer 1

slope = 1 , y-intercept = -10

Explanation:

y = mx + c , is the equation of a line in slope-intercept form.

where m represents the gradient (slope) and c , the y-intercept.

the equation here : y = x - 10 is in this form and by comparison with the above equation y = mx + c , we get slope = 1 , y-intercept = -10

To sketch: plot the point (0,-10) and using the definition of slope plot some other points from there.
Here is a sketch of what it should look like.
graph{x-10 [-20, 20, -10, 10]}