Final answer:
To determine if an equation represents a line with a slope of 5 that goes through the point (3,8), the point is substituted into the slope-intercept form y=mx+b, with 'm' representing the slope and 'b' the y-intercept. The correct values for 'm' and 'b' will verify if it's the right line.
Step-by-step explanation:
The question pertains to whether an equation represents a line with a specific slope (m=5) that passes through a given point (3,8). In linear equations, the slope is represented by the letter 'm', and it indicates how steep the line is, meaning how much y changes for a unit change in x. The y-intercept is the point where the line crosses the y-axis, often represented by the letter 'b' in the equation of the line y=mx+b.
To determine if a given line has a slope of 5 and passes through (3,8), you would plug those values into the slope-intercept form of a linear equation. If the equation simplifies correctly with m=5 and intersects the given point, it represents the correct line. For example, if the given equation were y=5x+b, and by substituting the point (3,8), you would find b and see if the equation holds true.