Find the slope of the line, m = (y2 - y1) / (x2 - x1). 7. Write the equation in point-slope form, y - y1 =...

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6. Find the slope of the line, m = (y2 - y1) / (x2 - x1).
7. Write the equation in point-slope form, y - y1 = m(x - x1).
8. Write the equation in standard form, ax + by = c.
9. Write the equation of the line containing the points (3, -1), (2, 2) in point-slope form and standard form.
10. Write the equation of the line with slope 1 and containing the point (2, -3) in point-slope form and standard form.

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6. The slope of the line is calculated as follows:
m = (5 - (-4)) / (1 - (-2)) = 9 / 3 = 3.
7. Using point-slope form with point (1, 5):
y - 5 = 3(x - 1).
8. Convert the point-slope form to standard form:
y - 5 = 3x - 3
3x - y = 2.
9. For the points (3, -1) and (2, 2):
Slope, m = (2 - (-1)) / (2 - 3) = 3 / -1 = -3.
Point-slope form using (3, -1):
y + 1 = -3(x - 3).
Standard form:
y + 1 = -3x + 9
3x + y = 8.
10. For slope 1 and point (2, -3):
Point-slope form:
y + 3 = 1(x - 2).
Standard form:
y + 3 = x - 2
x - y = 5.

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Find the slope of the line, m = (y2 - y1) / (x2 - x1). 7. Write the equation in point-slope form, y - y1 =...

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