Question

We saw equations in different forms representing the same constraint.

For example, x + 4y = 28 and y = -x + 7 both represent the games and rides that a
student could do with a fixed budget. What information about the situation and about the
graph can we gain from the standard form, Ax+By = C?

Answer 1

The standard form of a linear equation provides information about the graph and the situation. It helps us determine the intercepts and the slope of the line.

Step-by-step explanation:

The standard form of a linear equation, Ax+By=C, provides certain information about the situation and the graph. By using the standard form, we can determine the x and y-intercepts of the graph, which represent points on the graph where it crosses the x and y-axes. We can also easily identify the slope of the line, as it is the negative of the coefficient of x divided by the coefficient of y. In the given example, the standard form x + 4y = 28 represents a line with a y-intercept of 7 and a slope of -1/4.

Learn more about Standard form of linear equations