How do you find the slope and intercept of y = 6x + 1?

1 Answer
Mar 25, 2018

m = 6

x-intercept = (-1/6,0)

y-intercept = (0,1)

Explanation:

color(blue)"Slope" = color(blue){(rise)/(run)}
Since 6 is essentially 6/1 we know that the slope goes up 6 units

and right 1 unit on a graph.

Next, color(blue)"to find the y-intercept" of y=6x+1, you substitute x as x=0."#

y=6x+1

y=6(0)+1

y=1

:. the y-intercept is 1 when x is 0 thus (0,1)

color(blue)"To find the x-intercept" of y=6x+1, you let y=0.

y=6x+1

0=6x+1

0-1=6x

-1=6x

x=-1/6

:. the x-intercept is -1/6 when y is 0 thus (-1/6,0)

graph{6x+1 [-10, 10, -5, 5]}