need help with a true or false question - medal will be awarded

Question

katherinesmith · Answer

the equation of a line with the slope
$$m = -\frac{ 1 }{ 4 }$$
and including the point (3, 5) is
$$y = -\frac{ 1 }{ 4 }x - 4$$

katherinesmith · Answer

@phi i've struggled with this one all night and haven't received any input. if you have a second, please help!

anonymous · Answer

you want to find b of y = mx + b.

to do that you need to plug in the point (3,5) and you're given the slope.

so:$$5 = -\frac{ 1 }{ 4 }(3) + b$$$$b = 5 + \frac{ 3 }{ 4 } = \frac{ 23 }{ 4 }$$

so:$$y = -\frac{ 1 }{ 4 }x + \frac{ 23 }{ 4 }$$

katherinesmith · Answer

so false?

anonymous · Answer

yes. my bad :P

katherinesmith · Answer

haha it's fine. thank you.

phi · Answer

It looks like you have the answer... but no need to struggle.
When they ask if a point is on the line (or a line "includes" a point)
you replace the x and y in the equation with the numbers they give you in (3,5) x is the first number and y is the 2nd

then simplify and see if the equation is true.

katherinesmith · Answer

i think i understand. now i have a new question.