"Has an x-intercept of 6 and a y-intercept of 3." Could someone write that equation in slope-intercept, point slope, or standard form?

Question

anonymous · Answer

y = 1/2x + 3

anonymous · Answer

That's slope-intercept form

anonymous · Answer

Thank you so much! Could you show me how you got that?

anonymous · Answer

sure
slope-intercept form is y = mx + b
m is the slope
b is the y-intercept
with the x intercept and the y intercept I got a slope of 1/2
then I just inserted it in and got y = 1/2x + 3 since there's a y-intercept of 3

anonymous · Answer

do you want me to explain slope?

anonymous · Answer

Sure, I'm not sure how to get the slope.

anonymous · Answer

ok the slope is change of y / change of x
so the x-intercept is (6,0)
and the y-intercept is (0,3)
so 3-0/0-6 = 3/-6 = 1/-2

anonymous · Answer

BTW change it to y = 1/-2x + 3 I forgot it in the original answer sorry

anonymous · Answer

$$y = \frac{ 1 }{-2 }x  + 3?$$

anonymous · Answer

yes

anonymous · Answer

Thank you!

anonymous · Answer

No problem