What is the equation of the line that contains the points with (x,y) coordinates (-3,7) and (5,-1)?

Question

how did you come to this conclusion?

Answer 1

first find the slope:

m=(y2-y1)/(x2-x1) = (7-(-1))/(-3-5)=-1

now use the point-slope formula with either of the given points:

(y-y1)=m(x-x1)
y-7=-1(x-(-3))
y-7=-x-3
y=-x+4

Answer 2

To find the equation of a line, you need a point on the line and the slope of that line. We've already got a point on the line (either 3,7 or 5,-1.) Now we need to find the slope of the line.

The formula for the slope of a line is: Y2 – Y1 / X2 – X1

= -1-7/5-3
=-8/2
=-4

Now, it is possible to get the equation of the line. The formula for this is: Y - Y1 = M(X - X1)

Y - 7 = -4(X -3)
Y-7 = -4X + 12
4X +Y = 12+ 7
4X + Y = 19

Therfore the equation of the line is 4X + Y = 19

Hope I helped!

Answer 3

The equation for a line is y=mx+b, m being the slope and b being the consistent. It much less annoying to locate the slop by graphing the standards. think of of the slop as upward thrust/run. How some distance it is going up/down and how some distance it is going precise. So the slop could be (-a million-7)/(5-(-3)) = -8/8 = -a million. Now you have the slope: -a million. b is a persevering with, fantastically plenty what y equals to whilst x is 0. you could replace or locate it graphically. in y=mx+b, you could replace the two of the standards, i visit apply (-3,7). substituting, the equation is 7=(-a million*-3)+b. b=4 Now we plug in and the equation is y=-x+4

Answer 4

The slope is (7-(-1)/(-3-5)=-1. Noiw solve for the intercept in the form y=a+bx by by substituting one of the given ordered pairs:

7=a-1(-3), which implies that a=4 and the equation is
y=4-x.

Answer 5

slope = ( y2 - y1 ) / ( x2 - x 1 ) = ( -1 - 7 ) / ( 5 - 3 )
= -8 / 2 = -4

y - y1 = m( x - x1)
y - 7 = -4( x - 3 )
y - 7 = -4 x + 12
y - 7 + 4x - 12 = 0
4x + y - 19 = 0

Answer 6

By using the equation formula:
( y - y1 ) / ( x - x1 ) = ( y2 - y1 ) / ( x2 - x1 )
Where : y1 = 7 & x1 = -3
y2 = -1 & x2 = 5

Sub. in the above equation, we got the equation of the line :
x + y = 4

Answer 7

you replace x and y by their values in y=ax+b

so 7 = -3a+b (1)

and -1= 5a+b (2) you substract(1)-(2)

8= -8a a=-1 and b=4

answer y = -x+4

Answer 8

y= -x+4

use slope formula to get m, you should get -1
with the eq. y = mx+b plug -1 for m and plug -3 for x and 7 for y and solve for b. you should get 4

Answer 9

slope = (5-3)/(-1-7) = 2/-8 = -1/4
eq'n = -1/4x+19
slope(x) + Y-int.

Answer 10

y=(-x)+4

How, I looked at the two sets of coordinates to see how they related to each other.