Math help ?

yes; substitute the point into the equation:

7 = -(-3)+4

7 = 7

both sides are equal, so yes.

No. If you substitute -3 for x and 7 for why then you will have 7=1 which is not a true statement. For y=7 the value of x must be +3 rather than -3. So the point (3,7) lies on the line but not (-3,7)

Yes it does. Plug in x (-3) into the equation y=-x+4. You get 3+4=7 , which is your y point. Or you could just graph -x+4 on a graphing calculator and you will see that the point (-3,7) is on the line of the graph.

Yes! The point (-3,7) lies o the line because 7 = -(-3) + 4, Simply plug in the x value in the ordered pair and the y value for y.

Yes it does. You can simply use the point (-3,7) into the equation y = -x+4. So, 7 = -(-3) + 4 ----> 7 = 3 + 4.

In xy plane, the slope of a line always written in y = mx + b, which m indicate the slope of a line. b indicate y intercept. In this question, the value of b is 4, and m is -1.

m = (y2 - x2) / (y1 - x1)

We could find out (x2,y2) from the value of b. Since it is 4, that means the y intercept is (0,4).

Use it to check with slope m:

m = (y2 - x2) / (y1 - x1)

-1 = (4 - 0) / (y1 - x1)

(y1 - x1) = -4

(y1 - x1) is the point of x intercept which could be found now, it is (4,0)

You can cross check whether (-3,7) lie on the line by drawing an xy plane using (0,4) as y intercept and (4,0) as x intercept.

It does because when you plug in -3 for x and 7 for y you get the following:

7 = -(-3) + 4

7 = 3 + 4

Since that is true, the point lies on the line.

Do these coordinates satisfy the equation?