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Naily [24]
3 years ago
13

Please help me. I will give brainliest.

Mathematics
2 answers:
Eduardwww [97]3 years ago
7 0

Answer:  The point slope form of the equation of graphed line is y-0=-\dfrac{3}{5}(x-3). and the slope-intercept form is y=-\dfrac{3}{5}x+\dfrac{9}{5}.

Step-by-step explanation:  We are given to find the point-slope form and slope-intercept form of the equation of the graphed line.

We know that

the slope of a line passing through the points (a, b) and (c, d) is given by

m=\dfrac{d-b}{c-a}.

From the graph, we note that the line passes through the points (3, 0) and (-2, 3).

So, the slope of the line is

m=\dfrac{0-3}{3-(-2)}=-\dfrac{3}{5}.

Sine the line passes through the points (3, 0), so its equation point-slope form is given by

y-0=m(x-3)\\\\\Rightarrow y-0=-\dfrac{3}{5}(x-3).

And, the slope-intercept form is

y=-\dfrac{3}{5}(x-3)\\\\\\\Rightarrow y=-\dfrac{3}{5}x+\dfrac{9}{5}.

Thus, the point slope form of the equation of graphed line is y-0=-\dfrac{3}{5}(x-3). and the slope-intercept form is y=-\dfrac{3}{5}x+\dfrac{9}{5}.

Ber [7]3 years ago
3 0

Hey!

------------------------------------------------

Points:

(-2, 3) and (3, 0)

------------------------------------------------

Find the slope:

= \frac{y2 - y1}{x2 - x1} \\=\frac{0 - 3}{3 - (-2)}\\= \frac{-3}{5} or -0.8

------------------------------------------------

Slope Intercept Form:

y = mx + b

m = slope

b = y-intercept

Slope = -3/5

Y-intercept = 9/5

Answer: y = -3/5 + 9/5

------------------------------------------------

Point Slope Form:

y - y1 = m(x - x1)

You can use either of the points.

Answer:

y - 3 = -3/5(x - 2)

          or

y - 0 = -3/5(x - 3)

------------------------------------------------

Hope This Helped! Good Luck!

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Let's try an make a formula to make things easy.

_________________________________________________

Look at Andrew's pattern, it goes up 6 every time. Lets look at the 6 times table

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____________________________________

First think, how would you work out the <u>7</u>th term in the <u>6</u>th times table?

You would do <u>6</u> times <u>7</u>.

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_______________________________________

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9th term in 6 times table = 6 x 9 = 54

______________________________________

Now lets compare the 6 times table to Andrew's pattern:

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Andrew's pattern:     3, 9, 15, 21,

_____________________________________

If you look, you can see that Andrew's pattern is the 6 times table minus 3!

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_____________________________________

We can use this formula to easily work out the 20th term in Andrew's pattern!:

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______________________________________

Now let's make a formula for Ben's pattern!

Ben's pattern goes up in 5s, so lets compare it to the 5 times table:

5 times table:       5, 10, 15, 20

Ben's pattern:       3, 8, 13, 18,

The formula for the 5 times table is 5n, and Ben's pattern is the 5 times table but minus 2.

So the formula for Ben's pattern is: 5n - 2

__________________________________

<u>Now swap out the n for 20</u>  (to get the 20th term):

20th term = 5 x 20 - 2 = 100 - 2 = <u>98</u>

_________________________________________

So Andrew's 20th term is <u>117</u>, and Ben's 20th term is <u>98</u>.

All we do now is subtract them to find the difference:

117 - 98 = <u>19</u>

- - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

Ben's 20th term is smaller by 19!

- - - - - - - - - - - - - - - - - - - - - - - - - -

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