Which linear function represents the line given by the point-slope equation y + 1 = -3(x - 5)?

Solution:

Point slope form is used to represent a straight line using its slope and a point on the line. It means that the equation of a line whose slope is 'm' and which passes through a point (x₁, y₁) is found using the point-slope form.

y - y₁ = m (x - x₁)

where, (x, y) is a random point on the line and m is the slope of the line.

The given point-slope equation is

y + 1 = - 3 (x - 5)

By further calculation

y + 1 = -3x + 15

y = -3x + 15 - 1

y = -3x + 14

Therefore, the linear function which represents the line is y = - 3x + 14.

Which linear function represents the line given by the point-slope equation y + 1 = -3(x - 5)?

Summary:

The linear function represents the line given by the point-slope equation y + 1 = -3(x - 5) is y = -3x + 14.