How do you find the equation of a line with a gradient?

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. The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c.

How do you work out the equation of a line which has a gradient of 3 and passes through the point (- 1 3?

So the equation of the line with gradient −13 passing through (1,3) is y−3=−13(x−1), which we can rearrange to get y=−13x+103.

What is the equation of a line that 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).

What is the equation of a straight line which has a gradient of 3 and goes through the point 0 2 )?

So the line’s equation is y=3x+2.

How do you find the equation of a line that has the given slope and passes through the given point?

These are the two methods to finding the equation of a line when given a point and the slope:

1. Substitution method = plug in the slope and the (x, y) point values into y = mx + b, then solve for b.
2. Point-slope form = y − y 1 = m ( x − x 1 ) , where ( x 1 , y 1 ) is the point given and m is the slope given.

How to find the slope (or gradient) from 2 points?

Steps 1 Find the Slope (or Gradient) from 2 Points What is the slope (or gradient) of this line? 2 The “Point-Slope Formula” Now put that slope and one point into the “Point-Slope Formula” Start with the “point-slope” formula ( x1 and y1 are the coordinates of a 3 Simplify

What is the gradient of the line joining the two points?

Having our two points, we know that the gradient of the line joining the two points is the gradient of the line in question. Therefore, y-y1=m (x- x1)…………..

How do you find the equation of the straight line?

There are 3 steps to find the Equation of the Straight Line : 1. Find the slope of the line 2. Put the slope and one point into the “Point-Slope Formula” 3. Simplify What is the slope (or gradient) of this line? The slope is the change in height divided by the change in horizontal distance. Looking at this diagram

How do you find the slope of a line with coordinates?

Start with the “point-slope” formula (x 1 and y 1 are the coordinates of a point on the line): y − y 1 = m(x − x 1) We can choose any point on the line for x 1 and y 1, so let’s just use point (2,3): y − 3 = m(x − 2)