How do you find the equation of a line in GCSE?
Remember, the equation of a line is y=mx+c and to find the equation of a line all we need is one point (x, y) and the gradient ‘m’ of the line. For example, if I know that a line has a gradient of 4 and passes through the point (2, 3) we can work out the equation of the line.
What is the equation for straight line?
y = mx + c
Straight Lines Formulas
| All Formulas Related to Straight Lines | |
|---|---|
| Equation of a Straight Line | ax + by + c = 0 |
| General form or Standard Form | y = mx + c |
| Equation of a Line with 2 Points (Slope Point Form) | (y – y1) = m(x – x1) |
| Angle Between Straight lines | θ = tan − 1 | ( m 2 − m 1 1 + m 1 m 2 ) | |
How do you find the equation of a pair of straight lines?
Equation of a pair of straight lines = (m1x – y) (m2x – y) = m1m2x2 – (m1 + m2)xy + y2 , which is a homogeneous 2nd degree equation.
What is y mx c called?
slope-intercept form
One form of the equation of a straight line is called the slope-intercept form because it contains information about these two properties. In the equation y = mx + c the value of m is called the slope, (or gradient), of the line.
What is the M in Y MX B?
In the equation y = mx + b for a straight line, the number m is called the slope of the line. Let x = 0, then y = m • 0 + b, so y = b. The number b is the coordinate on the y-axis where the graph crosses the y-axis.
What are the 6 different forms of the equation of a line?
Different forms of equations of a straight line
- Point-slope form equation of line. Consider a non-vertical line L whose slope is m, A(x,y) be an arbitrary point on the line and.
- Two-point form equation of line.
- Slope-intercept form equation of line.
- Intercept form.
- Normal form.
How do you use ya bX?
You might also recognize the equation as the slope formula. The equation has the form Y= a + bX, where Y is the dependent variable (that’s the variable that goes on the Y axis), X is the independent variable (i.e. it is plotted on the X axis), b is the slope of the line and a is the y-intercept.
Why is it called intercept form?
One of the most common ways is called “slope-intercept” form. It’s called this because it clearly identifies the slope and the y-intercept in the equation. The slope is the number written before the x.
What is the general equation of a straight line?
Equation of a straight line The general equation of a straight line is y = m x + c, where m is the gradient and (0, c) the coordinates of the y-intercept. Look at the National 4 straight line…
How do you use a straight line graph in math?
Straight Line Graphs (Linear Graphs) have lots of uses in mathematics – one use is in navigation We may want to know the equation of a straight line so we can program it into a computer that will plot the line on a screen, along with several others, to make shapes and graphics How do we find the equation of a straight line? If in doubt, SKETCH IT!
How do you find the equation of a vertical line?
Vertical lines have equations of the form \\ (x = k\\). Horizontal lines have equations of the form \\ (y = c\\). Draw the graph of \\ (x = 3\\). Mark some points on a grid which have an \\ (x\\)-coordinate of 3, such as (3, 0), (3, 1), (3, -2). The points lie on the vertical line \\ (x = 3\\).
How do you find the gradient of a straight line?
Algebra Equation of a Straight Line Equations of straight lines are in the form y = mx + c (m and c are numbers). m is the gradient of the line and c is the y-intercept (where the graph crosses the y-axis).