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Intercept is a point when one of the values (x or y) in the coordinate (x,y) is zero.
If the value of x is zero, then the point is on the y axis (y intercept) - for example (0,2)
If the the value of y is zero than the point in on the x axis (x intercept) - for example (3,0)

20. At what points does the graph of

y = x^2 - 3x -10 cross the x-axis

When the line crosses the x axis, the value of y in the coordinate is zero. Then we get the equation:

0=x^2-3x-10

solving:

0=x^2+2x-5x-10
0=x(x+2)-5(x+2)
0=(x-5)(x+2)

We have two possible solutions: x=5 and x=-2
Thus we have two points where y=0: (5,0) and (-2,0)

21. What ...

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