Identify the slope of the graphed line: Identify the y-intercept of the graphed line: Identify the slope of the line given by the equation: Identify the y-intercept of the line given by the equation:

The given equation is written in the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept. The slope of the line as shown by the equation is 1/2.

PART 4: Identify the y-intercept of the line given by the equation

As previously stated, the equation is written is the slope-intercept form, so to find the y-intercept in the equation, all we need to do is find the value for b. In this case, b = -1.

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facundo3141592 facundo3141592 · Answer 2 · 2021-09-24T16:32:21+02:00

A general line can be written as y = a*x + b

Where a is the slope and b is the y-intercept.

A) Here we can start with the general line:

y = a*x + b

First, we want to identify the slope of the line, if a line passes through two points (x₁, y₁) and (x₂, y₂) the slope can be computed as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So we need to see the graph and find two points that belong to the line, for example, we can use:

(3, 0) and (6, -1)

Then the slope is:

[tex]a = \frac{-1 -0}{6 - 3} = -\frac{1}{3}[/tex]

So at the moment, our line is:

y = -(1/3)*x + b

Now we want to identify the y-intercept, this is just the value of y at which the line intercepts the y-axis, we can see that the line intercepts the y-axis at y = 1, then the y-intercept is b = 1

The equation of the line is:

y = -(1/3)*x + 1

B) Now we want to do the same but for the equation:

y = (1/2)*x - 1

This is more trivial, as this is already in the general form.

We can see that the slope is (1/2) and the y-intercept is -1.

If you want to learn more, you can read:

https://brainly.com/question/2263981