Which of the following is the equation of a line that goes through the point (10,5) and has an x-intercept of 5.
","rationale_html":"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 = 5
Run = change in x = 10 - 5 = 5
Slope = Rise/Run = 5/5 = 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 B
","correct_answer":["B"],"equiv_key":"5fc693ebbdb2346a4d79e888","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"y = x - 4
","ord":0},{"label":"B","content_html":"y = x -5
","ord":1},{"label":"C","content_html":"y = 2x -4
","ord":2},{"label":"D","content_html":"y = 2x -5
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