Question

write an equation of the line, in point-slope form, that passes through points (-15,7) and 5,-3)

write an equation in slope-intercept form. What are the slope and y-intercept?
-3x-10y=7

Answer 1

Point Slope Form:
\[(y - y _{1}) = m(x - x _{1})\]
Slope Formula:
\[m = \frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\]
You need to find first the slope using the slope formula
Solve for slope

Answer 2

this makes no sense.:/

Answer 3

wait would the answer be y-7=-1/2(x+15) ??

Answer 4

correct!

Answer 5

oh, thank you! for the second question the answer would be
y=-3/10x-7/10
slope: -3/10
y intercept: -7/10 ????

Answer 6

correct again!

Answer 7

alright, thank you both sooooo much!!:)

Answer 8

no problem

Answer 9

if you're given two points of the equation, all you have to do is find first the slope of the line
\[m = \frac{ -3 - 7 }{ 5 - (-15) }\]
\[m = \frac{ -10 }{ 20 }\]
\[m = \frac{ -1 }{ 2 }\]
Since you already have the slope of the line, all you have to do is plug in any of the two points given (-15,7) or (5,-3) to the point slope form
in this case lemme use (5,-3)
plugging in you will have:
\[(y - (-3)) = -\frac{ 1 }{ 2 }(x - 5)\]
Since you are to have it in the point slope form then
\[y + 3 = -\frac{ 1 }{ 2 }(x - 5)\]

Answer 10

alright, thank you so much
:)