Question

Linear functions are expressed by the graph and

equation. Select all that apply.
(1)The slope is positive for both functions.
(2)The equation has a steeper slope than the line in
the graph.
(3) The y-intercept is the same for both.
(4) The graph and the equation express an equivalent
function.
8
4
y = -4x - 4
​

Answer 1

(3) The y-intercept is the same for both.

(4) The graph and the equation express an equivalent

function.

Explanation:

The slope of both functions is negative since in the graph the line is going down, then the Y intercept is the same for both because when X is 0, in the graph the line is located at Y=-4 and in the function you can set x to 0 and the function would be -4, then you can see that the function and the graph have the same slope and the same Y intercept that means that they express an equivalent function.

Answer 2

C) The y-intercept is the same for both

D) The graph and the equation expression an equivalent function.

Explanation:

We are given graph a linear function and a equation of line y = -4x - 4

From the given graph, let's find the equation.

From the graph, we know the slope = rise/run

Here rise = 4 and run -1

Slope = 4/-1 = -4

and

y-intercept is -4 (where the line cuts the y-axis)

The equation of graph of the line y = -4x - 4

So, the graph and the given equation are also the same.

Therefore, the answers are

C) The y-intercept is the same for both

D) The graph and the equation expression an equivalent function.