Question

Write an equation of the line that passes through (-2,3) and is parallel to the line y=2x-4

Answer 1

Equation: y = 2x + 7

Explanation:

If the line is parallel to the line resembling the equation y = 2x - 4, it would mean that the line would have a similar slope, leading to part of the equation:

y = 2x

Now substitute the x-coordinate -2 and y-coordinate 3 into the equation * (derived from (-2, 3) ):

3 = 2(-2)

Now simplify either side:

3 = -4

For 3 to equal -4, you would have to add 7:

3 = -4 + 7 = 3

This means the final equation is:

y = 2x + 7

(Sorry if this isn't the way you expected to solve the question)