What is 2x=7?
Is it a standard form, or slope-intercept form, or not a linear equation? Can you explain what a standard form and a slope-intercept form is PLEASE!?
The standard form for a straight line is
y=mx+b where m is the slope and b is the y intercept. Therefore, an equation, such as
y=15+4x can be rearranged to
y=4x+15. The slope is 4 and the y intercept is 15.
To determine if the equation 2x=7 is in standard form or slope-intercept form, we need to understand what each form represents.
Standard form:
The standard form for a linear equation is Ax + By = C, where A, B, and C are constants and A is always positive. In this form, both x and y variables are on the same side of the equation, and the equation does not have fractions.
Slope-intercept form:
The slope-intercept form for a linear equation is y = mx + b, where m represents the slope of the line and b represents the y-intercept. In this form, the equation is explicitly solved for y.
Now let's analyze the given equation, 2x = 7.
This equation is not in standard form because it doesn't have both x and y variables. It only has an x variable.
To check if it's in slope-intercept form, we can try rearranging the equation to explicitly solve for y.
We start with 2x = 7 and then isolate the variable x by dividing both sides of the equation by 2:
2x/2 = 7/2
The equation simplifies to x = 7/2 (or x = 3.5).
By isolating x in this equation, we can see that it doesn't represent a line in the y = mx + b format, which is the slope-intercept form.
Therefore, the equation 2x = 7 is not in either standard form or slope-intercept form. It is a linear equation, but it is not in a specific form typically used for graphing lines.