Answer:
y = 5x + 7
Step-by-step explanation:
(-2, -3) & (-1, 2)
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:
(2 - (-3)) / (-1 - (-2))
Simplify the parentheses.
= (2 + 3) / (-1 + 2)
= (5) / (1)
Simplify the fraction.
5/1
= 5
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 5x + 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 (-1, 2). Plug in the x and y values into the x and y of the standard equation.
2 = 5(-1) + b
To find b, multiply the slope and the input of x(-1)
2 = -5 + b
Now, add 5 to both sides to isolate b.
7 = b
Plug this into your standard equation.
y = 5x + 7
This is your equation.
Check this by plugging in the other point you have not checked yet (-2, -3).
y = 5x + 7
-3 = 5(-2) + 7
-3 = -10 + 7
-3 = -3
Your equation is correct.
Hope this helps!
