An x-intercept occurs where, in an ordered pair, the x-value is any number and the y-value is zero. This results in a point on the function lying exactly on the x-axis, hence why it's called an x-intercept.
Using your table, none of the x-values have a matching y-value that equals zero. So, it's safe to assume your answer is option D. None of those points cross the x-axis.
Answer:
y = 2x + 5
Step-by-step explanation:
First find the slope:
5-7/0-1 --> -2/-1 --> (2)
Now use the point-slope form to find the slope-intercept form:
y-7 = 2 ( x - 1)
y - 7 = 2x - 2 add seven to both sides...
y = 2x + 5
Add 2x and subtract 7
5 -2x +2x < 7 +2x . . . . . . showing 2x added
5 < 7 +2x . . . . . . . . . . . .. simplified
5 -7 < 7 -7 +2x . . . . . . . . showing 7 subtracted
-2 < 2x . . . . . . . . . . . . . . . simplified
Now, divide by 2
-1 < x
The solution is -1 < x.
You can think in reverse. Addition is the opposite of subtraction. So to solve 15-8, you can ask "8 plus what number is equal to 15?" and note how 8+7 = 15. So that's why 15-8 = 7. Similarly, 15-7 = 8 can be solved the same way.
See how many times the denominator goes into the numerator. For example, with 24/8, 8 goes into 24 three times, so 24/8 is 3. If I had 25/8, then it would be 3 1/8 because you have one left over after you divide the 8 into 25.
