Answer:
So this is an algebra question, yes?
So an equation of a line follows this format: y=mx+b.
(m is your slope. b is the y-int)
In order to get to that equation, you use the formula: y-y¹=m(x-x¹).
(this is your point-slope formula)
If you are given two points, they want you to use this formula to find the slope:
y²-y¹ all divided by x²-x¹. (Fraction form).
so, label the points.
(0,6) 0 will be x¹. 6 will be y¹.
(3,0) 3 will be x².. 0 will be y².
(0-6) all over (3-0).
you get -6 over 3. You can simplify that to -2.
-2 is your slope.
so plug that into the second formula along with either one of the points given to you. I am going to choose (0,6) randomly.
y-6=-2(x-0)
Then you solve like a regular equation.
y-6=-2x. [-2×0 is 0 so dont include it]
y=-2x+6 [bring the -6 over by adding it]
There is your equation of the line that passes through both of those points.
Slope intercept form is the equation that has both the slope (-2) and the y intercept (6).
Point-slope form is the long formula we used to get the slope intercept form. It is called that because it shows a point on the graph (0,6) and the slope (-2).
Normally, they will ask you for the slope-intercept form.
Hope this helps.
