When a situation can be modeled by a linear equation, what information do you need in order to find an equation?
This is helpful to me THANK you
two points on the line
or
slope and an intercept
or
a point and the slope
or
the two intercepts
...
This is helpful to use an place on the grid to make the correct an accurate model
To find an equation for a situation that can be modeled by a linear equation, you will typically need two pieces of information: a point on the line, and the slope of the line.
1. A Point on the Line: This could be any coordinate pair in the form (x, y) that lies on the line. It represents a specific solution to the equation and helps you determine the constant term in the linear equation.
2. The Slope of the Line: The slope represents the rate at which the y-values change relative to the x-values. It determines the relationship between the variables in the equation. The slope can be calculated using the formula:
slope (m) = (change in y)/(change in x) = (y2 - y1)/(x2 - x1)
Once you have the slope and a point on the line, you can use the point-slope form or the slope-intercept form to write the linear equation:
1. Point-Slope Form: y - y1 = m(x - x1)
This form uses the given point (x1, y1) and the slope (m) to write an equation.
2. Slope-Intercept Form: y = mx + b
This form is useful when you know the slope (m) and the y-intercept (b), which represents the value of y when x is zero.
By plugging in the values for the slope, point, and y-intercept (if available), you can derive the linear equation that accurately models the given situation.