is 2x=7
a. Standard Form
b. Slope Intercept form
c.not a linear equation
To determine whether the equation 2x = 7 is in standard form, slope-intercept form, or if it is not a linear equation, we need to understand the characteristics of each form.
a. Standard Form: The standard form of a linear equation is given by Ax + By = C, where A, B, and C are constants, and A and B are not both zero. In the equation 2x = 7, we only have a single variable, x, on one side and a constant term, 7, on the other side. There is no y term present, so it is not in standard form.
b. Slope-Intercept Form: The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope of the line and b is the y-intercept (the y-value of the point where the line crosses the y-axis). In the equation 2x = 7, we do not have a y term. Therefore, it is not in slope-intercept form.
c. Not a Linear Equation: Since the equation 2x = 7 does not fit the criteria for standard form or slope-intercept form, we can conclude that it is not a linear equation. A linear equation should have both variables, x and y, and not just a single variable, as in this case.
In this specific case, 2x = 7 represents a simple equation with one variable, x, where the value of x is determined when multiplied by 2 equals 7. To find the value of x, we need to isolate it by performing inverse operations.
To get the value of x, we divide both sides of the equation by 2:
2x/2 = 7/2
x = 7/2
Thus, the solution to the equation 2x = 7 is x = 7/2.