Respuesta :

LC447

Answer:

The top one: Slope 2/3 and y-interccept -4

Step-by-step explanation:

The y-intercept is the same for all of them so that doesn't allow us to get rid of any answers.

You can get rid of the second and third answers because they have a negative slope, but the graph shows a positive slope, since it is going up and not down.

Now you have first and fourth answer.

Starting with the y-intercept, I went 2 up and 3 right and the line crossed (3, -2). I repeated that and the line crossed (6,0) and then (8,2). All of these points are on the line, so the first answer is correct.

Answer:

slope is + 2/3 and y-intercept is -4

Step-by-step explanation:

slope is how much a line goes up (positive) or down (negative) over an interval between 2 points DIVIDED BY how long the interval is from left to right. It is sometimes called "rise over run" (vertical change divided by horizontal change)

You have two obvious points on the line, (0, -4) and (6, 0)

So the line goes UP (the y -coordinate) from -4 to zeo. That's 4 units up.

The line goes rigth (the x-xoordinate) from zero to 6. That's 6 units right.

4/6 = 2/3 and that is the the slope.

The y-intercept is where the line actually intercepts the y-axis. We can see that happens when y = -4, so we say the intercept is -4. The y-intercept always has an x-ccordiante of zero, because EVERY point on the y-axis has an x-coordinate of zero.

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