Final answer:
In the equation y = 5x – 6, the slope (m) is 5, and the y-intercept (b) is –6. After simplifying the equation 5x + 2y = 10, the slope becomes –(5/2), and the y-intercept is 5. However, for incomplete equations, more information is needed to determine the slope and y-intercept accurately. Equations in the form y = mx + b provide explicit information about the slope and y-intercept, facilitating their identification.
Step-by-step explanation:
The student has requested identification of the slope (m) and y-intercept (b) for given equations:
For y = 5x – 6, the slope (m) is 5, and the y-intercept (b) is –6.
The equation is incomplete; a correct equation is needed for analysis.
To determine the slope and y-intercept for 5x + 2y = 10, the equation is rearranged to y = –(5/2)x + 5. Thus, the slope (m) is –(5/2), and the y-intercept (b) is 5.
The equation is incomplete; a correct equation is required.
This task illustrates the connection between algebraic formulas and the graphical representation of a straight line, where the slope (m) defines the line's steepness, and the y-intercept (b) indicates the point of intersection with the y-axis.