Respuesta :
Answer:
y = -3/2x+15/2
Step-by-step explanation:
First calculate the slope
m = (y2-y1)/(x2-x1)
= (0-6)/(5-1)
= -6/4
= -3/2
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -3/2 x+b
Substitute a point into the equation
0 = -3/2(5)+b
0 = -15/2+b
15/2 = b
The equation is
y = -3/2x+15/2
Answer:
y = -3/2x + 15/2
Step-by-step explanation:
In order to calculate the equation of a line, we need to make sure we know which is x, and which is y.
1, and 5 are x
6, and 0 are y
Now we need to find the difference in x's and y's therefore we subtract.
y = 6 - 0 = 6
x = 1 - 5 = -4
-6/4 reduces to -3/2
Now we have to apply the equation y= m x + b to this problem. M is the slope which is -3/2 and x & y are one of the ordered pairs. (Side note: the order pair you choose does not matter.)
y = m x + b
6 = -3/2 (1) + b
6 = -3/2 + b
+ 3/2 + 3/2
-------------------
15/2 = b
Final Answer:
y = -3/2x + 15/2
I hope this helps!