What is the gradient of the linear function [math: 4x+2y=1] ?

Question

BlackTom AI · Accepted Answer

Let's begin by identifying the slope of the line from the given equation. The equation is 4x + 2y = 1. To put it in slope-intercept form, solve for y: 2y = -4x + 1, so y = -2x + 1/2. The coefficient of x in slope-intercept form is the gradient (slope), which here is -2.

Option A: -2. This matches the calculated slope from transforming the equation into y = mx + b, so this is the correct gradient.

Option B: 1. This would imply a slope of +1, which would come from a line like y = x + b. It does not align with the derived y = -2x + 1/2.

Option C: 2. A slope of +2 would appear in a line such as y = 2x + b. It contradicts the negative slope found after rearranging the equation.

Option D: 4. A slope of +4 corresponds to something like y = 4x + b. It is not consistent with the -2 slope obtained from the equation 4x + 2y = 1.

What is the gradient of the linear function [math: 4x+2y=1] ?单项选择题

类似问题

The gradient of the straight line, which passes through (3, 5) and (5, 3) is: