Mathematics, 02.06.2021 14:00 Seaport

Need help
Pls explain

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Answer from: Roquelle6301

9514 1404 393

y = -1.5x +3

Step-by-step explanation:

The two points marked on the line are ...

(-4, 9) and (6, -6)

The slope formula can be used to find the slope:

m = (y2 -y1)/(x2 -x1)

m = (-6 -9)/(6 -(-4)) = -15/10 = -1.5

The intercept formula can be used to find the y-intercept:

b = y -mx

b = 9 -(-1.5)(-4) = 9 -6 = 3

The slope-intercept form of the equation for a line is ...

y = mx + b . . . . . . . line with slope m and y-intercept b

y = -1.5x +3

Additional comment

We can see that the line crosses the y-axis at y=3, so this is the value of b. We only need to read it from the graph. We don't really need the formula shown above.

The line also crosses the x-axis at x=2. This means the line decreases 3 units (from y=3 to y=0) as x increases by 2 units (from x=0 to x=2). Then the slope is ...

m = rise/run = (-3)/(2) = -3/2 = -1.5 . . . . as calculated above

That is, we can find the parameters of interest by simply counting grid squares on the graph.

Answer from: thegamingkid914

9514 1404 393

y = -1.5x +3

Step-by-step explanation:

The two points marked on the line are ...

(-4, 9) and (6, -6)

The slope formula can be used to find the slope:

m = (y2 -y1)/(x2 -x1)

m = (-6 -9)/(6 -(-4)) = -15/10 = -1.5

The intercept formula can be used to find the y-intercept:

b = y -mx

b = 9 -(-1.5)(-4) = 9 -6 = 3

The slope-intercept form of the equation for a line is ...

y = mx + b . . . . . . . line with slope m and y-intercept b

y = -1.5x +3

Additional comment

We can see that the line crosses the y-axis at y=3, so this is the value of b. We only need to read it from the graph. We don't really need the formula shown above.

The line also crosses the x-axis at x=2. This means the line decreases 3 units (from y=3 to y=0) as x increases by 2 units (from x=0 to x=2). Then the slope is ...

m = rise/run = (-3)/(2) = -3/2 = -1.5 . . . . as calculated above

That is, we can find the parameters of interest by simply counting grid squares on the graph.

Answer from: Quest

.mp4 files, because, video

Answer from: Quest

Yourself by using the internet

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