Identify an equation in slope-intercept form for the line perpendicular to y = –1/2x + 11 that passes through (4, –8).

y = 2x - 16

Step-by-step explanation:

perpendicular lines = have negative-reciprocal slope

slope: -1/2 => negative-reciprocal => 2                                               ↓ slope

substitute (4, -8) and the slope 2 into the slope-intercept form(y = mx + b) to find b:

=> -8 = 2(4) + b => b = -16

plug in the slope 2 and b = -16 to the slope-intercept form:

y = 2x - 16

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

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step-by-step explanation: