Question

Find the y and the x intercepts of the graph of the equation of y=3x+1

Answer 1

x-intercept ⇨ -1/3

y-intercept ⇨ 1

Explanation:

⟺ Finding the x-intercept, substitute y = 0

`y=3x+1\\0=3x+1\\3x+1=0\\`

Move 1 to subtract the another side.

`3x=-1`

Then move 3 to divide -1, leaving only x as a subject since we want to find the x-intercept.

`x=-(1)/(3)` #

⟺ Finding the y-intercept, substitute x = 0

`y=3x+1\\y=3(0)+1\\y=0+1`

`y=1` #

Tips:

Here's the tips about finding the intercepts of the graph.

⟺ For x-intercept, It's like solving an equation to find the x-term.

⟺ For y-intercept, It's like using the constant to answer.

As for y = mx+b where m = slope and b = y-intercept.

For a linear function, It's not necessary to substitute x = 0 just to find y-intercept as we can answer the constant as our y-intercept.