Question

Explain why y +1 = 1.2(x + 2) and y- 5 = 1.2(x – 3) represent the same line, despite having

different equations.

Answer 1

They have the same slope

Explanation:

The standard equation of a line in point-slope form is expressed as;

y-y0 = m(x-x0)

We can see that both equations given are written in this form with a slope of 1.2. For two lines to be equal, they must have the same slope no matter the point on the lines. Hence the two equations are equal since they have different slopes.