Answer:
so
Step-by-step explanation:
what
Answer:
y = -x + 2
Step-by-step explanation:
We are asked to find the equation of a line
Step 1: find the slope
We are given two points
( 2 , 0) ( 6 , -4)
m = (y_2 - y_1 )/ (x_2 - x_1)
x_1 = 2
y_1 = 0
x_2 = 6
y_2 = -4
Insert the values
m = ( -4 - 0) / ( 6 - 2)
m = -4 / 4
m = -1
Step 2 : substitute m into the equation
y = mx + c
y = -1x + c
Step 3: substitute any of the two points into the equation
Let's pick ( 6 , -4)
x = 6
y = -4
y = mx + c
y = -1x + c
-4 = -1(6) + c
-4 = -6 + c
c = -4 + 6
c = 2
Step 4: substitute c = 2 into the equation
y = mx + c
y = -x + c
y = -x + 2
so we have a table of values, with x,y coordinates, so let's use any two of those points to get the slope of the table and use the point-slope form to get its equation
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