Find the equation of the line.
Question 1 options:
y = 2/3x + 1
y = -2/3x - 1
y = -3/2x + 1
y = 3/2x - 1
The equation of the line can be determined by using two points on the line or by using the slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept.
Since only the options for the equation are given, we can use the slope-intercept form (y = mx + b) to determine which equation matches the line.
The given equation options are:
y = 2/3x + 1
y = -2/3x - 1
y = -3/2x + 1
y = 3/2x - 1
Comparing the given options with the slope-intercept form, we can see that the y-intercept (b) is 1 for all options. Therefore, we need to determine the slope (m) to find the correct equation.
To do this, we can compare the given options to the general form of a linear equation, y = mx + b.
Comparing y = 2/3x + 1 with y = mx + b, we can see that the slope (m) is 2/3.
Comparing y = -2/3x - 1 with y = mx + b, we can see that the slope (m) is -2/3.
Comparing y = -3/2x + 1 with y = mx + b, we can see that the slope (m) is -3/2.
Comparing y = 3/2x - 1 with y = mx + b, we can see that the slope (m) is 3/2.
Therefore, the equation of the line is y = 2/3x + 1.
To find the equation of the line, we need either the slope and y-intercept or two points on the line. Unfortunately, no such information is given in the question. Without further information, it is not possible to determine the correct equation of the line.
To find the equation of a line, we need two pieces of information: the slope of the line, represented by "m," and the y-intercept of the line, represented by "b."
Looking at the options given, we can see that all of them are in the form y = mx + b, where "m" is the coefficient of x and "b" is the constant term.
In this case, the equation we are looking for is in the form y = mx + b, where the coefficient of x is 3/2 and the constant term is -1.
Therefore, the equation of the line is y = 3/2x - 1.