Answer:
y = -2/3x + 5
Step-by-step explanation:
(-3, 7) and (3, 3)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(3 - 7) / (3 -(-3))
Simplify the parentheses.
= (3 - 7) / (3 + 3)
Simplify the fraction.
= (-4) / (6)
= -4/6
= -2/3
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2/3x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (3, 3). Plug in the x and y values into the x and y of the standard equation.
3 = -2/3(3) + b
To find b, multiply the slope and the input of x(3)
3 = -2 + b
Now, add 2 to both sides to isolate b.
5 = b
Plug this into your standard equation.
y = -2/3x + 5
This is your equation.
Check this by plugging in the other point you have not checked yet (-3, 7).
y = -2/3x + 5
7= -2/3(-3) + 5
7 = 2 + 5
7 = 7
Your equation is correct.
Hope this helps!
