Answer:
y=7-3x; m= -3; b= 7
Step-by-step explanation:
First to find the slope you use the formula m(slope)= (y2-y1)/(x2-X10
to get the values for (x1,y1) you can pick any pair of x and y values from the table and the same goes for (x2,y2). After that you plug the values into the formula for slope which gives you -3.
For example: (x1,y1) can be (0,7) and (x2,y2) can be (1,4)
m=(4-7)/(1-0)
m= -3/1
m= -3
From there finding the y value is very simple, pick any pair of x and y values for the table and plug them into the equation for slope intercept form, y=mx+b plug the x value in for x, the y value in for y, and the slope we got earlier in for m. b is the variable for the y intercept, which is what we are now trying to find. so once we have plugged in all of our values, we just simplify the equation
(0,7)
y=mx+b
7= -3(0)+b
7= b
Now that we have both our slope and y intercept we can just plug them into y=mx+b and then we have the equation of the relationship;
y=7-3x which can also be written as y= -3x+7
