Question

Question

What is the equation of the line that passes through the point (-1, 8) and has a slope of -6?

Answer 1

y - 8 = -6(x + 1)

Explanation:

Since we're given a point on the line and the line's slope, we can write the equation of the line in point-slope form, whose general equation is given by:

y - y1 = m(x - x1), where:

• (x1, y1) is any point on the line,
• and m is the slope.

Thus, we can plug in (-1, 8) for (x1, y1) and -6 for m in y - y1 = m(x - x1):

y - 8 = -6(x - (-1))

y - 8 = -6(x + 1)

Therefore, y - 8 = -6(x + 1) is the equation of the line (in point-slope form) that passes through the point (-1, 8) and has a slope of -6.