Answer:
The equation of the line is y = - x - 8
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
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
