What is the equation to the straight line joining the origin to the point of intersection of the lines?

What is the equation to the straight line joining the origin to the point of intersection of the lines?

The equation of the straight line joining the origin to the point of intersection of y – x + 7 = 0 and y + 2x – 2 = 0 is. Solving (i) and (ii), the point of intersection of the lines is (3, -4). Hence option (4) is the answer.

How do you find the gradient of a line with one point?

To find the gradient, take the derivative of the function with respect to x , then substitute the x-coordinate of the point of interest in for the x values in the derivative. So the gradient of the function at the point (1,9) is 8 .

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What is the gradient of the line?

The gradient of a line is how steep the straight line is. In the general equation of straight line, y = mx + c , the gradient is denoted by the letter m . Imagine walking up a set of stairs. Each step has the same height and you can only take one step forward each time you move.

What is the gradient function?

The gradient of a function w=f(x,y,z) is the vector function: For a function of two variables z=f(x,y), the gradient is the two-dimensional vector . This definition generalizes in a natural way to functions of more than three variables.

What is a zero gradient?

A line that goes straight across (Horizontal) has a Gradient of zero.

Which one of the following lines passes through the origin?

Any line passing through origin is of the form y = mx or ax + by = 0. Here in the given option, 2x – y = 0 is in the form ax + by = 0.

Which of the following is the equation of a straight line?

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

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What is gradient computer?

A smooth blending of shades from light to dark or from color to color. Also called a “fountain fill,” in 2D drawing programs and paint programs, gradients are used to create colorful backgrounds and special effects as well as to simulate light and shadows.