In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−6, −5)?  Choose the correct choice from the following:  A) 4  B) 2  C) 0  D) −2  E) −4
First, solve for the slope, m:   m = (y2 - y1)/(x2 - x1) = (-5 - 3)/(-6 - 10) = -8/-16 or 1/2   Then you can re-write the equation as y = (1/2)x + b and plug in one of the points to find b, the y intercept. Using point (10, 3): 3 = (1/2)(10) + b, which can be simplified to 3 = 5 + b. Solve for b and you get b = -2.   The equation now reads: y = (1/2)x - 2.   To find the x intercept, plug in 0 for y: 0 = (1/2)x - 2, which simplifies to 2 = (1/2)x. From this, we can see that the x intercept = 4.   4nswer is 4.
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In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−6, −5)?