find the value of r so that the line that passes through each pair of points has the given slope
(r,4), (7,1), m=
You didn't state the slope.
what ever it is ...
(4-1)/(r-7) = m
m(r-7) = 3
mr - 7m = 3
mr = 3 + 7m
r = (3+7m)/m
so whatever m is, just plug it into that expression.
or
suppose the given m = 3/4
then (4-1)/(r-7) = 3/4
3r - 21 = 12
3r = 33
r = 11
Use the above method with your given slope, should be easy.
To find the value of r such that the line passing through the points (r,4) and (7,1) has a given slope m, we can use the slope formula:
m = (y2 - y1) / (x2 - x1)
Let's substitute the values of the points into the slope formula:
m = (1 - 4) / (7 - r)
Simplifying the equation further:
m = -3 / (7 - r)
Since we're given the slope m, we can plug that into the equation and solve for r:
m = -3 / (7 - r)
-3 = m * (7 - r)
-3 = m * 7 - m * r
-3 - m * 7 = -m * r
3 + m * 7 = m * r
Finally, divide both sides of the equation by m:
(3 + m * 7) / m = r
The value of r that makes the line passing through the points (r,4) and (7,1) have the given slope m is (3 + m * 7) / m.