Question

Determine three points on the line with slope 2 and passing through (-3,2). A. (-5,1),(-1,3),(1,4) B. (-4,0),(-2,4),(-1,6) C. (0,-4),(4,-2),(6,-1) D. (1,-5),(3,-1),(4,1)

Answer 1

To find three points on a line with a slope of 2 and passing through (-3, 2), we can use the point-slope form of a linear equation. By substituting different values of x, we can find the corresponding y coordinates for three points on the line. The points are (-5, -2), (-1, 6), and (1, 10).

Step-by-step explanation:

To find three points on a line with a given slope and passing through a given point, we can use the point-slope form of a linear equation. The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Using the given slope of 2 and the point (-3, 2), we can substitute the values into the point-slope form to find three points on the line:

1. Using (-3, 2): y - 2 = 2(x - (-3))
2. Simplifying the equation gives: y - 2 = 2x + 6
3. So the equation of the line is: y = 2x + 8
4. By substituting different values of x, we can find the corresponding y coordinates for three points on the line. For example:
5. Therefore, the three points on the line with slope 2 and passing through (-3, 2) are (-5, -2), (-1, 6), and (1, 10).