Write the equation of the line with points (10, 15) and (-4, 3).?

Answer 1

m=(y2-y1)/(x2-x1) slope
m=(15-3)/(10+4)
m=6/7
y-3=(6/7)(x+4) point slope form
y=(6/7)x+45/7 slope intercept form

Answer 2

Well, the slope of the line is (3 - 15) / (-4 - 10) = (-12) / (-14) = 6/7

Substitute: 15 = (6/7)(10) + b
15 = 8 4/7 + b
6 3/7 = b

The equation is

y = (6/7)x + (45/7)

Answer 3

*Find the slope & the formula is
m = [second x - first x]/[second y - first y]

First: place the points in the formula.

m = [3-15]/[- 4-10]
m = [-12]/[-14]
m = 12/14 > simplify the fraction into lowest terms
m = 6/7

Sec: place the slope & one set of points in the point-slope formula which, is y - first y = m(x - first x)

y - 15 = (6/7)(x - 10)
y - 15 = (6x/7) - 60/7

Third: write the expression in the slope-intercept form which, is y = mx+b > add 15 with both sides (when you move a term to the opposite side, always use the opposite sign).

y - 15+15 = (6x/7) - 60/7 +15
y = (6x/7) + 45/7

Answer 4

okie this is gonna be (y2-y1)/(x2-x1) to find the slope

in this case is gonna be (3-15)/(-4-10)..simplify that which is -12/-14 and which is also equal to 6/7

now you know the slope is 6/7......the equalition of the line is y=mx+b and in this case the equation is gonna be like y=6/7x+b,

now plug either coordinate is, let's and solve for b

i will be using (10,15).....it would look like this 15=6/7(10) +b

solve for b now......15= 8.57 +b....take away 8.57on both side you would get b equal to 6.43

or you can leave them in fractions, in that case it woud be 15=60/7 +b......still take away 60/7 on both side then you would come out this answer 6 and 3/7

so the equation of the line between those two point is y=6/7x+6 3/7

hope that help

Answer 5

first we calculate the slope (m)

m=(y2-y1)/(x2-x1)

with y2=15, y1=3, x2=10 and x1=-4

m=(15-3)/(10+4)
m=12/14
m=6/7

with the slope we can write several forms of the line's equation like

y-15=6/7(x-10) or y-3=6/7(x+4)

or

7y-6x=45 (this looks like the neatest form, without all the fractions and everything)

or

y=6x/7+45/7 (but this is kind of the standard slope-intercept form)

etc...

Answer 6

calculate slope
m=12/14=6/7

y-3=6/7 (x+4)

or

y=6/7 x+45/7

Answer 7

first find slope

m=(15-3)/(10-(-4))=12/14=6/7

then find b

y=mx+b
y=(6/7)x+b
15=(6/7)10+b
(105-60)/7=b
45/7=b

y=(6/7)x+45/7

Answer 8

7y-6x=45