How do you find the x and y intercepts for $y=3x+1$ ?

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Answer 1 · 2015-11-27T21:38:29

$x$ intercept is at $x=-1/3$ and $y$ intercept is at $y=1$

The intercept for the y-axis has to be when $x=0$
The intercept for the x-axis has to be when $y=0$

$color(blue)("To find the y intercept")$
so substitute 0 for $x$ in the equation giving:

$y=(3xx0)+1$

$y=1$

$color(blue)("To find the x intercept")$
Substitute 0 for $y$ in the equation giving:

$0=3x+1$

Subtract 1 from both sides

$0-1 =3x+1-1$

$3x=-1$

Divide both sides by 3

$(3x)/3=-1/3$

$x=-1/3$

How do you find the x and y intercepts for y=3x+1y=3x+1?