The y-intercept of a linear equation is the point on the y-axis at which the line cuts.
It could be found by plugging x = 0 in the given linear equation.
For example,
Consider 3x + 2y = 6. To find the y-intercept just plug x = 0 in the equation.
3(0) + 2y = 6
2y = 6
y = 3
(0, 3) is the y-intercept of the linear equation 2x + 3y = 6.
Note:
In the same way we can find the x-intercept by plugging y = 0 in the given linear equation.
By elimination and substitution
If it is a linear function, it is quite easy to solve the equation explicitly, using standard methods of equation-solving. For example, if you have "y" as a function of "x", you would have to solve the variable for "x".
At the x-intercept on the graph of the equation, y=0. Take the equation, set 'y' equal to zero, and solve the equation for 'x'. The number you get is the x-intercept.
The equals sign ( = ). In fact it defines any equation, linear or not, since an equation is a statement that a particular value or term is equal to, so the result of solving, a second set of terms and operators. Any other symbols would be particular to the equation you have derived or are trying to solve.
You must find the slope, if it is positive, then the line is always increasing. If it is negative, then the line is always decreasing.
plug in a 0 for the "x" value of the equation, and solve it :D
how do we find linear feet or inche
A linear equation looks like any other equation. It is made up of two expressions set equal to each other. A linear equation is special because: It has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make the linear equation true and plot those pairs on a coordinate grid, all of the points for any one equation lie on the same line. Linear equations graph as straight lines.
No
If necessary, rearrange the linear equation so that it is in the slope-intercept form: y = mx + c Then the gradient of the line is m.
By elimination and substitution
You find out if a problem is linear or exponential by looking at the degree or the highest power; if the degree or the highest power is 1 or 0, the equation is linear. But if the degree is higher than 1 or lower than 0, the equation is exponential.
(y2-y1)(x2-x1) you plug in the equation to this formula and thats ur answer!
To find the slope of a linear relationship from a table, select two points (x₁, y₁) and (x₂, y₂) from the table. The slope (m) can be calculated using the formula ( m = \frac{y₂ - y₁}{x₂ - x₁} ). To determine the y-intercept (b), substitute the slope and one of the points into the linear equation ( y = mx + b ) and solve for b. This will give you the equation of the line in the form ( y = mx + b ).
In general, it is very difficult. Even if a graph looks like a straight line over the domain there is no guarantee that the underlying equation makes the equation non-linear as you move away from the visible domain. A typical example, from school physics, concerns Hooke's law. The extension of a length of wire under different strains follows a linear relationship. Until the strain reaches a critical level and then the relationship goes all haywire. Looking at the graph below that critical level, the equation would be a straightforward linear one. But that is true only as far as it goes.
To find an equation for a function table, first identify the relationship between the input (x) and output (y) values by observing patterns or changes in the table. Determine if the relationship is linear, quadratic, or follows another pattern. For linear relationships, calculate the slope using the change in y over the change in x, and then use a point to find the y-intercept. For more complex relationships, try fitting a polynomial or other function type based on the observed values.
You can multiply both sides of an equation by a non-zero constant.