Question

each transformation is performed on the line with the equation y=2x-1. write the equation of the new line. slope increased by 50%. shifted 3 units and slope doubled

Answer 1

a) y = 3x-1

b) y = 4x + 2

Explanation:

The equation is y = 2x-1

the equation of a straight line is;

y = mx + b

where m is slope (2) and b is the y-intercept (-1)

Slope increasing by 50%

= 2 + 50% of 2

= 2 + 1 = 3

So the new equation will be;

y = 3x - 1

b) Shifted three units

y = 2x - 1 + 3

y = 2x + 2

Slope doubled will be;

y = 2(2)x + 2

y = 4x + 2