Question

What is the equation of the line that passes through the point (-5, -3) and has a
slope of -1

Answer 1

The equation of the line is y = - x - 8

Explanation:

The form of the linear equation is y = m x + b, where

• m is the slope of the line

• b is the y-intercept

Let us solve the question

∵ The slope of the line is -1

∴ m = -1

→ Substitute it in the form of the equation above

∴ y = -1(x) + b

∴ y = - x + b

→ To find b substitute x and y in the equation by the coordinates of

a point lies on the line

∵ The line passes through point (-5, -3)

∴ x = -5 and y = -3

∵ -3 = - (-5) + b

→ Remember (-)(-) = (+) and (-)(+) = (-)

∴ -3 = 5 + b

→ Subtract 5 from both sides

∴ -3 - 5 = 5 - 5 + b

∴ -8 = b

→ Substitute it in the equation

∴ y = - x + (-8)

∴ y = - x - 8

∴ The equation of the line is y = - x - 8