Question

find the slope-intercept form for the line satisfying the following conditions. x-intercept 2,y-intercept 1/3
the slope-intercept form for the line is_____

Answer 1

@Atkinsoha

Answer 2

Okay, so what is the slope intercept form?

Answer 3

c=1/3
point( 2;0)
y=mx+c
0=m(2)+1/3
m=-1/6
y=-1/6X +1/3

Answer 4

@physicsboffin how you do tht

Answer 5

@Atkinsoha x-intercept 2, y-intercept 1/3

Answer 6

okay, so slope intercept form is y=mx+b

Answer 7

so b is the y intercept.
so we know that
y=mx+ 1/3

Answer 8

they say that x-inertcept is 2...this implies that (2;0)...when x=2 y=o
this gives you 1 point...then u have your y-intercept which is c in the equation Y=mX+c

Answer 9

now we find the slope. I usually make a quick sketch to get an approximation of the x and y intercepts. We know they are both on the line, so we do slope=rise/run with is (1/3) / 2
Which is the same as (1/3)(2/1) = 1/6

Answer 10

so now we have y=(1/6)x + (1/3)

Answer 11

Now graph it, and we notice that the graph I've given isn't correct. Sometimes this happens. Let's try y=-(1/6)x + (1/3)

Answer 12

When dealing with the slope, it can go positive or negative, and sometimes I confuse myself with which one it is, so be sure to graph, and try both ways to ensure the correct answer.
So your slope intercept form is: y= (-1/6)x + (1/3)

Answer 13

thanks again