How do you find the intercepts for y= 7x + 3y=7x+3?

1 Answer
May 20, 2018

x: (-3/7,037,0)
y: (0,30,3)

Explanation:

x-intercept: set y=0
\color(red)(0)=7x+30=7x+3
-3=7x3=7x
-3/7=x37=x

y-intercept: set x=0
y=7(\color(red)(0))+3y=7(0)+3
y=0+3=3y=0+3=3

Alternatively, you can already find the y-intercept because it is in the setup of the equation.
y=mx+by=mx+b where m=\text(slope)=7m=slope=7 and
b=\text(y-intercept)=3b=y-intercept=3.