Question

When you plot the points or solutions of the equation, you will notice it will create what kind of line?

a) A curved line
b) A straight line
c) A zigzag line
d) A circular line

Answer 1

Plotting the points of a linear equation y = a + bx on a graph results in a straight line, with the slope determined by the value of b. A positive b means an upward slope, zero b results in a horizontal line, and a negative b gives a downward slope.

Step-by-step explanation:

When you plot the points or solutions of an equation on a graph, the type of line it creates depends on the form of the equation. For a linear equation of the form y = a + bx, the resulting graph is a straight line. Depending on the value of b, the slope of the line can vary:

• If b > 0, the line slopes upward to the right, indicating a positive slope.
• If b = 0, the line is horizontal, which means there is no slope.
• If b < 0, the line slopes downward to the right, signifying a negative slope.

For nonlinear equations, the graph will not be a straight line; it can be curved, such as in the case of quadratic or exponential functions, or it could take other shapes depending on the complexity of the equation involved.