What is the equation of a line with a gradient of and passes through 1 7?
What is the equation of a line with a gradient of and passes through 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 line with a gradient of 3 and passes through (- 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.
How do you find the equation of a line that passes through 3 points?
Let first point be (x1, y1) and second point be (x2, y2). Now, you can get the n by plugging the number k, as well as x and y coordinates of one of the points into the equation y = kx + n. Let’s say you choose to plug coordinates of the point number one. Now you know n and voilà, that’s your equation.
How do I find an equation of a line?
To find an equation of a line given the slope and a point.
- Identify the slope.
- Identify the point.
- Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .
- Write the equation in slope-intercept form.
How do you find the equation of a line with two points and a gradient?
How to Find the Equation of a Line from Two Points
- Find the slope using the slope formula.
- Use the slope and one of the points to solve for the y-intercept (b).
- Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
How do you find the gradient?
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.