Find the sum of the slope and $y$-intercept of the line through the points $(7,8)$ and $(9,0)$.
Slope = rise / run for the two points given
=(8-0)/(7-9) = -4
so the equation of the line looks like y = -4x + b to find 'b' sub in one of the given points
0 = -4(9) + b b = 36
y = -4x + 36 y intercept occurs when x = 0 y = 36 Y-intercept + slope = 36 -4 = 32
Find the sum of the slope and $y$-intercept of the line through the points $(7,8)$ and $(9,0)$.
First, make
(7) the X1 and (8) the Y1
Then use the next point
(9) as the X2 value and the (0) the Y2
Then use the equation
M=Y2-Y1
-------------
X2-X1
Plug in The coordinate points and it should look like this
M= 0 - 8
-------------
9 - 7
Then solve and you get
M= 8
--------
2
If it can be simplified then simplify it.
Then you will get the value of M= 4.
Then you use the formula
Y=Mx+B
So you already know your slope, now you just have to solve for B.
So chose a point from your graph and plug-in.
For example the point (7,8)
8 is the Y-value
7 is the X-Value
Plug-in =
8= 4(7)+b
8= 28 +b
Minus 28 from 8
and you get
20= B
Your Final Answer is
Y=4X+20