Jawaban Yang Paling Tepat

The gradient of a line can be found by rearranging the equation into the form y = mx + c, where m is the gradient. In this case, rearranging the equation 4x + 5y - 6 = 0 gives 5y = -4x + 6, which can be further simplified to y = (-4/5)x + 6/5. Therefore, the gradient of the line is -4/5.

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The correct answer is 3x - 4y - 8 = 0. This equation represents a line that passes through the point (0, -2) and has a gradient of 3/4. The equation is in the standard form of a linear equation, where the coefficients of x, y, and the constant term are 3, -4, and -8 respectively.

The gradient of the line passing through points A(-4, 7) and B(2, -2) can be calculated using the formula: gradient = (change in y)/(change in x). Therefore, the change in y is -2 - 7 = -9 and the change in x is 2 - (-4) = 6. Thus, the gradient is -9/6 = -3/2.

The equation of the line passing through the points (5, -5) and (-5, 1) is 3x + 5y + 10 = 0. This can be determined by using the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. By substituting the given points into the equation, we can find that the slope is -2/2 = -1. Then, by substituting one of the points and the slope into the point-slope form, we get the equation 3x + 5y + 10 = 0.