Question

MW2+1The equation of this line isy = 2x + 3. Which of thefollowing shows a way thatwe could change theequation to make the linesteeper?1 2 31-3 -2 -1-1-22A. y = 2x + 5B. y = -2x + 3

Answer 1

Step 1

Given;

`y=2x+3`

Required; To find the equation that makes th line steeper

Step 2

Stretches and compressions change the slope of a linear function. If the line becomes steeper, the function has been stretched vertically or compressed horizontally. If the line becomes flatter, the function has been stretched horizontally or compressed vertically. f(x)→f(1bx) • b > 1 stretches away from the y-axis.

Therefore, we are looking for a function that has been compressed horizontally. Considering the options the answer will be;

`\begin{gathered} y=4x+3 \\ This\text{ is because 2 was used to multiply 2x in the parent function } \\ y=2x+3--\text{ Parent function} \\ y=2(2x)+3=4x+3 \end{gathered}`

Answer;

`y=4x+3`

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