Answer:
Explanation:
To determine which of the following points lies on line l, we can use the slope-intercept form of a linear equation (y = mx + b), where m is the slope of the line.
Given that the slope of line l is 2 and the point A(-3, 2) lies on the line, we can substitute these values into the equation to find the y-intercept (b).
Using the point-slope form (y - y1 = m(x - x1)) with point A(-3, 2) and slope 2:
y - 2 = 2(x - (-3))
y - 2 = 2(x + 3)
y - 2 = 2x + 6
y = 2x + 8
Now that we have the equation of line l, we can check which of the given points satisfy this equation.
The points are:
B(1, 10)
C(-4, 5)
D(0, 8)
E(3, 6)
Substituting these points into the equation y = 2x + 8, we can see which points satisfy the equation:
For point B(1, 10):
10 = 2(1) + 8
10 = 2 + 8
10 = 10
For point C(-4, 5):
5 = 2(-4) + 8
5 = -8 + 8
5 = 0 (not equal)
For point D(0, 8):
8 = 2(0) + 8
8 = 8
For point E(3, 6):
6 = 2(3) + 8
6 = 6 + 8
6 = 14 (not equal)
From the calculations, we can see that points B(1, 10) and D(0, 8) satisfy the equation y = 2x + 8. Therefore, these two points also lie on line l.