Write the point-slope form of the equation of the line through the given point with the given slope.
3) through: (1, -5), slope -5/6
4) through:(-2,5), slope = -7/2

Question 3)

Given

The point (1, -5)

The slope m = -5/6

Using the point-slope form of the equation of a line

where

In our case:

substituting the values m = -5/6 and the point (1, -5) in the point-slope form of the equation of the line

Thus, the point-slope form of the equation of the line is:

Question 4)

Given

The point (-1, 5)

The slope m = -7/2

In our case:

substituting the values m = -7/2 and the point (-1, 5) in the point-slope form of the equation of the line

Thus, the point-slope form of the equation of the line is:

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step-by-step explanation: