Find the value of r so the line that passes through each pair of points has the given slope:
(12,10), (-2,r), m=-4
using the slope formula ... (r - 10) / (-2 - 12) = -4
solve for r
(r-10)/(-1-12) = -4
r-10 = 56
r = 66
To find the value of r, we can use the slope formula and substitute the coordinates of the points and the given slope.
The slope formula is given by:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates (12, 10) and (-2, r), we have:
-4 = (r - 10) / (-2 - 12)
Simplifying the equation, we get:
-4 = (r - 10) / (-14)
Cross multiply to eliminate the fraction:
-4 * (-14) = r - 10
56 = r - 10
To solve for r, add 10 to both sides of the equation:
56 + 10 = r
r = 66
Therefore, the value of r is 66.
To find the value of r so that the line passing through the given pair of points has the given slope, we can use the slope formula:
m = (y2 - y1) / (x2 - x1)
Given the points (12, 10) and (-2, r), and the slope m = -4, we can plug in these values into the slope formula and solve for r.
-4 = (r - 10) / (-2 - 12)
Now we can solve for r by cross-multiplying:
-4 * (-2 - 12) = r - 10
Simplifying:
-4 * (-14) = r - 10
56 = r - 10
Adding 10 to both sides:
56 + 10 = r
r = 66
Therefore, the value of r that makes the line passing through the points (12, 10) and (-2, r) have a slope of -4 is r = 66.