Question

In questions 1-6, write an equation in point-slope form using the given point and slope:

1.Point: (-2, 1); Slope (m) = -3
2.Point: (3, 5); Slope (m) = 2
3.Point: (-1, -2); Slope (m) = -1
4.Point: (5, 0); Slope (m) = 4/3
5.Point: (0, 4); Slope (m) = 7
6Point: (1, 2); Slope (m) = 1/2
Write the equations for each.

Answer 1

The point-slope form equations of the given points and slopes are stated in an ordered list, depicting straight lines with their respective slopes and points.

Step-by-step explanation:

Writing an equation in point-slope form involves using the formula y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope. For the given sets of points and slopes, the equations in point-slope form are as follows:

1. y - 1 = -3(x + 2)
2. y - 5 = 2(x - 3)
3. y + 2 = -1(x + 1)
4. y - 0 = 4/3(x - 5)
5. y - 4 = 7(x - 0)
6. y - 2 = 1/2(x - 1)

Each equation uses the given point and slope to depict a straight line with a constant rate of change between x and y.