Line r in the xy -plane has a slope of 4 and passes through the point 0 , 6 .

Question

Line r in the xy -plane has a slope of 4 and passes through the point 0 , 6 . Which equation defines line r ?

Accepted Answer

Choice D is correct. A line in the xy -plane with a slope of m and a y -intercept of 0 , b can be defined by an equation in the form y = m x + b . It&rsquo;s given that line r has a slope of 4 and passes through the point 0 , 6 . It follows that m = 4 and b = 6 . Substituting 4 for m and 6 for b in the equation y = m x + b yields y = 4 x + 6 . Therefore, the equation y = 4 x + 6 defines line r . Choice A is incorrect. This equation defines a line that has a slope of - 6 , not 4 , and passes through the point 0 , 4 , not 0 , 6 . Choice B is incorrect. This equation defines a line that has a slope of 6 , not 4 , and passes through the point 0 , 4 , not 0 , 6 . Choice C is incorrect. This equation defines a line that passes through the point 0 , - 6 , not 0 , 6 .

Question line-r