Answer:
[tex]y =2x -0.5[/tex]
Step-by-step explanation:
Given
Parallel to: [tex]-8x = 5 - 4y[/tex]
y intercept = -0.5
Required
Determine the equation
First, we calculate the slope of [tex]-8x = 5 - 4y[/tex]
We have:
[tex]4y = 8x + 5[/tex]
Divide through by 4
[tex]y = \frac{8x}{4} + \frac{5}{4}[/tex]
[tex]y = 2x+ 1.25[/tex]
Since the line passes through [tex]-8x = 5 - 4y[/tex], it means they have the same slope (m)
An equation has the form:
[tex]y =mx + b[/tex]
Where m = slope and b = y intercept
So, the slope (m) is:
[tex]m = 2[/tex]
The equation becomes:
[tex]y = 2x + b[/tex]
From the question, the y intercept is given as -0.5.
So, the equation is:
[tex]y =2x -0.5[/tex]
