Final answer:
The correct equation of a line in slope-intercept form is 'y = mx + b', making option a) the correct choice.
Step-by-step explanation:
The student is asked to find the equation of a line in slope-intercept form. The most common format for the equation of a line in slope-intercept form is y = mx + b, where m represents the slope of the line, and b represents the y-intercept, the point where the line crosses the y-axis. So, option a) y = mx + b is the correct choice.
Option b) y = b - mx is simply a variation of the first formula with a negative slope. Option c) x = my + b is not typically used for the slope-intercept form and is not as common. Therefore, the answer to the question is option a) y = mx + b.
In geometry, the equation of a line can be written in different forms and each of these representations is useful in different ways
The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers.
The slope, m, represents the steepness of a line. The slope of the line is also termed as gradient, sometimes. The y-intercept, b, of a line, represents the y-coordinate of the point where the graph of the line intersects the y-axis.