Question

Find a linear equation whose graph is a straight line with the given properties through (0.5,6) and parallel to the line 4x-2y=15

Answer 1

• y = 2x + 5 or -2x + y = 5

Explanation:

Given line:

• 4x - 2y = 15

Converted to slope-intercept form of y= mx + b

• 2y = 4x - 15
• y = 2x - 7.5

Parallel lines have a same slope, so the line will be:

• y = 2x + b

Using the point given (0.5, 6), finding the value of b:

• y = 2x + b
• 6 = 2*0.5 + b
• b = 6 - 1
• b = 5

So the line is:

• y = 2x + 5

or

• -2x + y = 5