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I need your help with this!!!​

I need your help with this!!!​-example-1
User Vbuzze
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2 Answers

3 votes

Answer: y = 2/3x - 9

User Fstamour
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8.1k points
4 votes

Method Used:

We will use the point-slope equation to find the slope of this line

We know that according to the point-slope equation:

y = mx + b (where m is the slope and b is the y-intercept of the line)

Now, we will find the slope and the y-intercept of the line in order to find the equation of this line

Finding the Equation:

Finding the Slope:

We know that the formula for finding the slope of a line is:

Slope = Rise / Run

We will check the slope between the points, (-9,0) and (-6,2)

We know that rise = y2 - y1 (y of the second - y of the first coordinate)

Rise = 2 - 0 (replacing the values)

Rise = 2

We know that Run = x2 - x2 (x of the second - x of the first coordinate)

Run = -6 - (-9) (replacing the values)

Run = 3

Now that we know the values of Rise and Run, we can find the slope

Slope = Rise / Run

Slope = 2 / 3

Finding the Y-intercept:

We know that the y-intercept of a line is the y-coordinate of the point where the line intersects the y-axis

We can see in the graph that the line intersects the y-axis at the point (0,6)

the y-coordinate of the point (0,6) is 6

Therefore, the line has a y-intercept of 6

Equation of the Line:

We know that the general form for the slope-intercept formula is:

y = mx + b (where m is the slope and b is the y-intercept)

replacing the values of slope and y-intercept

y = (2/3)x + 6

Therefore, the equation of the line in the Graph is y = (2/3)x + 6

User Dpaksp
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