Answer:
The equation of the line is y = - 1/2 x - 6
Step-by-step explanation:
<em>The equations of parallel lines have the same slopes and different y-intercepts</em>
The form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept (value y at x = 0)
- To find b substitute x and y in the equation by the coordinates of a point on the line
∵ The given equation is y = -1/2 x - 4
→ By comparing it by the form of the equation above
∴ m = -1/2
∵ Parallel lines have the same slope
∴ The slope of the line = -1/2
→ Substitute it in the form of the equation above
∴ y = - 1/2 x + b
∵ The line passes through the point (-2, -5)
→ To find b substitute x by -2 and y by -5
∴ -5 = -1/2 (-2) + b
∴ -5 = 1 + b
→ Subtract 1 from both sides
∴ -5 - 1 = 1 - 1 + b
∴ -6 = b
→ Substitute the value of b in the equation above
∴ y = - 1/2 x + (-6)
∴ y = - 1/2 x - 6
The equation of the line is y = - 1/2 x - 6
