Answer:
19.) r = -4 20.) r = 1
Explanation:
19.) Because we know the slope and have some points, we can use point-slope form to find the equation.
Point-slope form is:
y - y1 = m(x - x1)
Substitute the numbers into the equation:
y - 3 = 7/6(x - 1)
y - 3 = 7/6x -7/6
y = 7/6x + 11/6
Now that we know the equation, we can put in the x value to find the y (In this case, y = r):
r = 7/6(-5) + 11/6
r = -35/6 + 11/6
r = -4
20.) Because the slope is undefined, that means on the graph, the line will appear straight and vertical. This means the equation will be something like x = a number.
We have the point (1,4). Since we know that the x value will never change, we know that r will have to equal 1 as well.
r = 1