Question

Y=3/5x-3 Graph using slope and y-intercept

Answer 1

The equation y=
`(3)/(5)` x−3, the slope is
`(3)/(5)` , indicating a positive slope, and the y-intercept is (0,−3), representing the point where the line intersects the y-axis.

The equation y=
`(3)/(5)` x−3 is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept.

In this case, the slope (m) is the coefficient of x, which is
`(3)/(5)` .

The slope indicates how much the dependent variable (y) changes for a one-unit increase in the independent variable (x).

In the given equation, for every increase of one unit in x, y increases by
`(3)/(5)`.

The y-intercept (b) is the constant term in the equation, which is −3. The y-intercept represents the point where the graph of the line crosses the y-axis. In this case, the y-intercept is the point (0,−3).

For the equation y=
`(3)/(5)`​ x−3, the slope is
`(3)/(5)` , indicating a positive slope, and the y-intercept is (0,−3), representing the point where the line intersects the y-axis.

This information helps to understand the behavior and characteristics of the linear relationship described by the equation.

Question

Find the slope and the y intercept for equation y=3/5x-3 . Graph using slope and y-intercept.