Answer:
Question 1: the slope is -6
Question 2: the first choice is the one you want
Step-by-step explanation:
For the first one, I can't tell what fraction is on the left side with the y, but it doesn't matter. To me it looks like 1/2, but like I said, it won't change or affect our answer regarding the slope. That number has nothing to do with the slope.
In order to determine the slope of that line that is currently in point-slope form, we need to change it to slope-intercept form. Another expression for slope-intercept form is to solve it for y. Doing that:
Now we can add 1/2 to both sides. That gives us the slope-intercept form of the line:
The form is y = mx + b, where the number in the "m" place is the slope. Our slope is -6.
For the second one, we will sub in the x coordinate in a pair for x in the equation of the line and do the same for y to see if the left side equals the right side. The answer is and I'll show you why. I will also show you how another point DOESN'T work in the equation. Filling in 2/9 for x and -7 for y:
which simplifies to
0 = -3(0) so
0 = 0 and this is true.
The other point I am going to use in exactly the same process is (-3, -7) since it doesn't have fractions in it. First I'm going to distribute the -3 into the parenthesis to get:
Subbing in -3 for x and -7 for y:
As you can see, the left side equals 0 but the right side does not. If the lft side doesn't equal the right side, then the expression is not true, so the point is not on the line.