Answer:
Slope: 1; Y-int: (0,2)
Step-by-step explanation:
The slope is rise over run, the equation is y two minus y one divided by x two minus x one.
(3-2) / (1-0) = 1
The y-int. is where the line crosses the y-axis, or the x value is 0.
Hope this helps :)
Answer:
y = 3/2x-5/2
Step-by-step explanation:
We have two points so we can write the equation for the line. (-1,-4) and (3,2)
First we can find the slope by using
m= (y2-y1)/(x2-x1)
m = (2- -4)/(3 - -1)
=(2+4)/(3+1)
= 6/4
= 3/2
Then put the slope into the slope intercept form of the equation
y= mx+b where m is the slope and b is the y intercept
y = 3/2x+b
We will use the point (3,2) and substitute it into the equation to find b
2 = 3/2(3)+b
2 = 9/2 +b
Subtract 9/2 from each side
4/2 -9/2 = 9/2-9/2 +b
-5/2 = b
y = 3/2x-5/2
First solve for one variable
(I chose bottom equation because it’s easier)
Get y alone: Y = 5x
Now that we have y we can plug y into the top equation
Plug in 5x for y: 2x + 5x = 7
Solve for x: 7x = 7
X = 1
Now plug in the x value into the bottom equation to solve for y
Y = 5(1)
Y= 5
So, x = 1 and y = 5
