Final answer:
The equation of a line with a y-intercept of -8 and a slope of 2 is y = 2x - 8.
Step-by-step explanation:
The equation of a line in slope-intercept form is given by y = mx + b, where m represents the slope of the line, and b represents the y-intercept. Given that a linear function has a y-intercept of -8 and a slope of 2, we can substitute these values into the slope-intercept form to get the equation of the line. Thus, the correct equation is y = 2x - 8.
In mathematics, we can write the equation of a given line in different ways based on the various parameters. The most commonly observed methods involve point-slope form, slope-intercept form, two-point form, intercept form, etc. All these methods deal with the deviation and expression of the equation of the given line using a point and slope, slope and y-intercept, two points on the line, intercepts of coordinates of the given points, etc., respectively.