Question

Use the slope-intercept method to graph y = -x +3. Is ( 3, -6) a solution?

Answer 1

slope-intercept method:

y = mx + b

if we have the funtion y = -x + 3 , then the slope m = -1

now, in order to graph we need to find a set of 2 points

for example, when x = 3 , then y = - 3 + 3 = 0 , so the 1st point is (3,0)

now, when x = 0 , then y = -0 + 3 = 3 , so the 2nd point is (0,3)

now, using those two points we can plot the function

we will obtian the above

we can see that (3, -6) is not a solution