Complete the point-slope equation of the line through (1, 3) and (5, 1). Use exact numbers.

Step-by-step explanation:

The coordinates of the points through which the line passes are (1, 3) and (5, 1)

The slope, m, of a line given the coordinates of two known points on the line, (x₁, y₁), (x₂, y₂) can be found as follows;

The slope of the given line is therefore

The equation of the line in point and slope form is therefore, y - y₁ = m·(x - x₁) or y - y₂ = m·(x - x₂)

Therefore, by substituting the known values, we have the equation in point and slope form as follows;

85° and 95°

Step-by-step explanation:

A linear pair of angles sum to 180° , then

3x + 10 + 4x - 5 = 180

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25

Then

3x + 10 = 3(25) + 10 = 75 + 10 = 85°

4x - 5 = 4(25) - 5 = 100 - 5 = 95°