Question

The equation of the line that has a slope of

-23 that passes through the point (5, 1). Which form did you choose to write the equation in and why?

Answer 1

I used the y=Mx+b equation because it has a good job showing each of the elements in the equation.

Explanation:

The slope is -2/3 so if you add it to (5,1) it would be (3,4) as you just add three and subtract to to the point. I’m going to use for this equation as it is more simple and it gives a good job showing what each element is in the equation. M is the slope, so now we have y= -2/3x +b. To find b, substitute x and y for a point on this line which I will use the point (3,4) for. Now, multiply -2/3 by 3 and you will get -2 after. Now you have 4=-2+b which the answer would be 6.

This is just an example of finding the equation, which form I used, and why.

Answer 2

Y = -23x + b
1 = -23(5) + b
1 = -115 + b, b = 116
Y = -23x + 116
I choose the slope intercept form since it was easy to calculate. The slope was given, you just need to plot in the points to find the y- intercept.