What is the slope and y-intercept of the line (y3)=5(x+2)?

1 Answer
Jun 24, 2018

Slope (gradient) =5

y-intercept =13

Explanation:

Given: (y3)=5(x+2)

Answering the question

Write as y3=5(x+2)

Consider the right hand side

Multiply everything inside the brackets by 5

y3=5x+10

Add 3 to both sides (gets rid of it on the left)

y=5x+13

Compare to the standardised form y=mx+c

Where the slope (gradient) m=5

Where c=13

The y-intercept =c=13

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Foot note

This is because the line crosses the y-axis at x=0

Substitute 0 for x and we have:

y=5(0)+13

y=0+13