The line segment joining each pair of points has given slope. Determine each value of x. Draw each segment on a grid.
a) A(-1,2), B(x,6) slope 1/2
To determine the value of x, we can use the formula for slope:
slope = (change in y) / (change in x)
In this case, the slope is given as 1/2, and the points are A(-1,2) and B(x,6).
So, we can plug the values into the formula:
1/2 = (6 - 2) / (x - (-1))
Simplifying:
1/2 = 4 / (x + 1)
To eliminate the fraction, we can cross-multiply:
2(4) = 1(x + 1)
8 = x + 1
Subtracting 1 from both sides:
7 = x
Therefore, the value of x is 7.
To draw the line segment on a grid, plot the point A(-1,2) and the point B(7,6), and connect them with a straight line.
To determine the value of x in the line segment AB, we can use the formula for the slope of a line:
slope = (change in y) / (change in x)
Here, the slope is given as 1/2. We can substitute the given coordinates into the formula and solve for x.
slope = (6 - 2) / (x - (-1))
1/2 = 4 / (x + 1)
To solve for x, we can cross-multiply:
2(x + 1) = 4
2x + 2 = 4
2x = 4 - 2
2x = 2
x = 2/2
x = 1
Therefore, the value of x is 1. The point B is (1, 6).
To draw the line segment AB on a grid, plot points A(-1, 2) and B(1, 6) and connect them with a straight line.