Hi there!
To derive an equation given the points, we can use the slope formula:
Plug in the corresponding coordinates:
Simplify:
Therefore, we have:
y = -4x + b
Plug in the x and y values for a coordinate to solve for b:
2 = -4(1) + b
2 = -4 + b
b = 6
The equation is:
y = -4x + 6. The correct answer is D.
Answer:
The equation of the line is
Step-by-step explanation:
Looks like you've already found the y-intercept and slope of this graph. Great! That's all the info we need to create an equation.
The equation of a line is always in form, where k is the constant of proportionality (aka the slope) and b is the constant added (aka the y-intercept).
We know the slope is 3 and the y-intercept is 3, so we can put these values into the equation.
Hope this helped!
