What is the equation of a line which has a gradient of and passes through the point 1 7?

c = 33/7. Hence the equation in the form y = mx + c can written as y = 1/7x + 33/7 which is the equation of the line with the slope of 1/7 passing through the point (2,5).

How do you find the gradient of a straight line?

To calculate the gradient of a straight line we choose two points on the line itself. The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates). If the answer is a negative value then the line is downhill in direction.

What is the gradient of a straight line?

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

What is straight line example?

The definition of straight-line is something with lines that do not wave or curve, or a way to spread costs across a period of time all at the same rate. An example of straight-line design is art work made up of lines that do not bend or wave.

How to find the equation of a straight line with gradient 3?

We can find the equation of a straight line when given the gradient and a point on the line by using the formula: where \\ (m\\) is the gradient and \\ ( (a,b)\\) is on the line. Find the equation of the line with gradient 3, passing through (4, 1). Using \\ (y – b = m (x – a)\\) with m = 3, a = 4 and b = 1. Now try the example question below.

What is the gradient when m = 2 and y-intercept = 6?

Now we can use the formula when m = 2, a = 1 and b = 6 (You can use any of the 2 points given in the question). Therefore the gradient equals 2 and y-intercept equals (0, 4).

What is a straight line in math?

A straight line is a set of points with a constant gradient between any two of the points. Consider the diagram below with points A ( x; y), B ( x 2; y 2) and C ( x 1; y 1).

What is the gradient of a line that runs parallel?

A line that runs parallel to the x -axis is called a horizontal line and has a gradient of zero. This is because there is no vertical change: A line that runs parallel to the y -axis is called a vertical line and its gradient is undefined. This is because there is no horizontal change: