Answer: y=-5x+8
Explanation:
To find the equation of a line in point-slope form, we use the formula:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope of the line.
Substituting the given values, we get:
y - (-7) = -5(x - 3)
Simplifying the equation, we get:
y + 7 = -5x + 15
y = -5x + 8
Therefore, the equation of the line in point-slope form that passes through the point (3,-7) and has a slope of -5 is:
y - (-7) = -5(x - 3)
solution:
y = -5x + 8