Answer:
(images to help with graph are below)
Step-by-step explanation:
okay! so once you get the hang of this, it is super super easy.
so the y-intercept is a point on that long line going up and down on the graph. it shows where the line intersects the middle!
so here it says that the y-intercept (y-int for short) is 2. so we will simply mark a little point on 2.
now the slope. the slope is -4. this can be written as -4/1. the -4 is on the top so i represents the y values. and the 1 is on the bottom so it represents the x values.
we know that when graphing, x goes from side to side and y goes up and down.
if an x value is positive you move it to the right (forwards), if it is negative you move it to the left (backwards). if a y value is positive you move it upwards, if it is negative you move it downwards. so we want to start graphing with our x.
The x value is 1 (because it is in the bottom of the slope! -4/1!). So we will move one point from the y-int (the point we marked).
Now for the y values. The y value is -4 (again, taken from the -4/1. the top number is the y value). FROM THE PLACE WE LEFT OFF FOR THE X VALUES (we left off at point (1,2) because we moved it one to the right!), we will move 4 points DOWN because it is negative (-4). Mark this place with a dot!
We should now have the points (0,2) and (1,-2) marked with a dot. draw a line through the 2 dots! this is ur finished graph. notice how the line intersects the middle on the y-intercept!! that will always happen.
Lastly, the equation! the formula for slope intercept form is y=mx+b
m is always your slope. b is your y-int. and y and x stay blank (for now. in the future you might use those spots). so simply fill in m and b!
the slope is -4. so m = -4
the y-int is 2. so b = 2
the finished equation should look like this:
y = -4x + 2
I hope this helped !!!
