what is the slope of the points {1,-2}
and {3,-4}
Slope is defined as the change in y divided by the change in x
slope = (y2 -y1)/(x2 - x1)
so then simply substitute the pts corrsesponfing to x1,x2,y1,y1
= (-4--2)/(3-1)
= -1
3x-5y=1
2x+5y=9
To solve the system of equations using the given values, we can do so by elimination or substitution method. Let's solve it using the substitution method.
First, let's solve one equation for one variable in terms of the other variable. Let's solve the second equation for x:
2x + 5y = 9
2x = 9 - 5y
x = (9 - 5y) / 2
Now, substitute this expression for x into the first equation:
3x - 5y = 1
3((9 - 5y) / 2) - 5y = 1
(27 - 15y) / 2 - 5y = 1
Now, we can simplify and solve for y:
27 - 15y - 10y = 2
27 - 25y = 2
-25y = 2 - 27
-25y = -25
y = -25 / -25
y = 1
Now, substitute this value of y into the second equation to find x:
2x + 5(1) = 9
2x + 5 = 9
2x = 9 - 5
2x = 4
x = 4 / 2
x = 2
Therefore, the solution to the system of equations is x = 2 and y = 1.