Answer:
y = -1.5x - 3
Step-by-step explanation:
The slope-intercept form of a line is y = mx + c where m is the slope of the line and c is the y-intercept of the line.
To find the slope of a line, you need to find the between two of the points. I will be using the points (-2, 0) and (0, -3).
=
=
= -1.5
Now based on the graph, we see that the y-intercept is -3. Thus, the entire equation of the given line is: y = -1.5x - 3
Answer: Option A
Step-by-step explanation:
In the graph we have a piecewise function composed of a parabola and a line.
The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.
The equation of this parabola is
Then we have an equation line
Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."
(this is )
Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle .
(this is )
Then the function is: