Which of the following is the equation of a line that goes through the point (10,5) and has an x-intercept of 5.  Options:
A) y = x - 4
B) y = x -5
C) y = 2x -4
D) y = 2x -5
E) y = 3x -4
If a line has an x-intercept of 5, by definition, the line must go through the point (5,0). You now have two points, which will form a line: (5,0) and (10,5).   Calculate the slope of the line (i.e., rise over run).   Rise = change in y = 5 - 0= 
<gadget id="calculator">5 - 0</gadget>
<output>5</output>
5   Run= change in x = 10 - 5= 
<gadget id="calculator">10 - 5</gadget>
<output>5</output>
5   Slope= Rise/Run = 5/5= 
<gadget id="calculator">5/5</gadget>
<output>1</output>
1   Substitute the slope, 1, in for m.   y= mx + b   y = 1x + b   y = x + b   Substitute an ordered pair in for x and y and solve for b, which is the intercept. Use (10, 5).   5 = 1*10 + b   5 -10 = b   b = -5   Answer is y = x -5
<result>B</result>
Which of the following is the equation of a line that goes through the point (10,5) and has an x-intercept of 5.