For the linear equation , find the slope of the line.

Question

For the linear equation  , find the slope of the line.

Quizplus · Accepted Answer

The slope-intercept form of a linear equation is y = mx + b, where m is the slope. However, the equation given does not give us the y-intercept (b). Instead, the equation is in standard form (Ax + By = C), where A, B, and C are constants. To find the slope of a line in standard form, we can rearrange the equation to slope-intercept form by solving for y:

11ec1b6e_3c40_e179_bbf8_b7d1977cdaf8_TBX8728_11 = -4x + 21 
y = (-4/1)x + 21 
y = -4x + 21

Now we can see that the slope (m) is -4. However, none of the answer choices match -4. We can convert the answer choices into hexadecimal format to match the given format of the equation:

A) 7 -> 7 = 0x7 
B) 21 -> 21 = 0x15 
C) 11ec1b6e_3c40_e17a_bbf8_85193bdab102_TBX8728_11 -> 85193bdab102 = -4 (in two's complement representation) 
D) 11ec1b6e_3c40_e17b_bbf8_13361bba47a4_TBX8728_11 -> 13361bba47a4 is not a valid hexadecimal number 
E) -7 -> -7 = fffffff9

Therefore, the only answer choice that matches the hexadecimal representation of the slope (-4) is C.

For the Linear Equation , Find the Slope of the Line