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_____
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@physicsboffin how you do tht
@Atkinsoha x-intercept 2, y-intercept 1/3
okay, so slope intercept form is y=mx+b
so b is the y intercept.
so we know that
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
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
so now we have y=(1/6)x + (1/3)
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)
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)