Answer:
y = 2x-3
Step-by-step explanation:
We have 2 points so we can find the slope
m = (y2-y1)/(x2-x1)
= (1--3)/(2-0)
= (1+3)/(2-0)
=4/2
= 2
The y intercept (where x=0) is -3
We can use the slope intercept form of the equation
y= mx+b where m is the slope and b is the y intercept
y = 2x-3
1: one solution
Explanation: We see that the variable x is equal to 9 (and only 9). Therefore there is only one solution
2: infinitely many solutions
Explanation: When an equation has infinitely many solutions, it means that any real number (aka <em>all real numbers</em>) would satisfy that equation. For example 2x = 2x. Any number you plug in for x would result in both sides being equal. So you know an equation has infinitely many solutions if both sides are the same
3: no solution
Explanation: 7 does not equal 4 so you can't solve this equation.
4: no solution
Explanation: 7 is not less than 7, that is impossible, so there is no solution.
5: one solution
Explanation: 8 <em>is</em> greater than or equal to -2, so this inequality is true, meaning it represents one solution
1/2 = 2/4 = 3/6 = 4/8 = 5/10 = 6/12
Let's think of this visually, as a pie.
If you were to split a pie down the middle into two pieces and ate one slice, you would be eating half of it.
Now, let's say you didn't eat one of those slices. You sliced the pie down the middle (vertically) and made another slice (horizontally). You would have 4 equal pieces. If you ate two slices that were side by side, you would still have had the same amount if you just sliced it once. If you were to keep slicing and eating, you'd be eating the same amount if you kept it to two pieces.
Hope it helped!
