Slope-intercept form of equation

[Guest]

I would appreciate some help with steps please. I am soooo confused. I think it is (c) but not sure. Thank you!!

Write the slope-intercept form of the equation of the line through the following points.
through (2, 1) and (0, -3)
a) y = 2x - 5
b) y = -3x + 1
c) y = 2x - 3

[Guest]

The form of the equation is y = mx + c
"m" is the slope and "c" is the intercept

The slope of the line is the change in "Y" divided by the change in "X".....OR...delta"Y" divided by delta"X" OR dy/dx

In this case the change in "Y" is from 1 to -3 and the correcponding change in "X" is from 2 to 0
You should be able to calculate the slope from this.

Then substitute in the values of either point given in the question (these are points on the line) for the values of x and y in the equation and calculate the intercept "c"

[rmiller2015]

Since you are given the point (0, -3), the c value is known immediately: -3
This is the y-intercept.

Now to calculate the slope, which equals rise/run

(1 - -3)/(2 - 0) = 4/2 = 2
Now we have the m value.

So you are correct: Option (c): y = 2*x - 3