Which of the following is the equation of the line that passes through the point (4, -1) and has a slope −2?
Correct answer: D. 2x+y=7
- A. x + 2y = 2
- B. x - 2y = 6
- C. 2x - y = 9
- D. 2x+y=7
Explanation
The equation for the line is y=mx+cWe have the value of m = slope = -2 and it passes through point (4,-1) so, x = 4 and y = -1Substitute these values in the equation to find the value of c which is the y-intercept.-1 = (4)(-1) + C-1 = -8 + CC = -1 + 8 = 7So now we know that the value of m=-1 and C=7 so put these values in the equation, to find the equation of line. Also, make the value of c the subject as per the options.y = mx + cy = -2x + 72x + y = 7
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