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Nadusha1986 [10]

3 years ago

7

Write the slope intercept form of the equation of each line through the given points

1 answer:

slamgirl [31]3 years ago

4 0

<span>1. Through: (5, -1) and (-5, -4)
slope = (-4 +1)/(-5 -5) = -3/-10 = 3/10
y = mx + b
-1 = 3/10 (5) + b
-1 = 3/2 + b
b = -1 -3/2
b = - 5/2
equation

y = 3/10x - 5/2

</span><span>2. Through: (-3, 2) and (0, -1)
</span><span>slope = (-1 - 2)/(0 +3) = -3/3 =-1
passing thru </span>(0, -1) so b = -1
<span>
equation
y = -x - 1

</span>

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Write the rule for the linear function. Remember a function rule is written using f(x)

Marina CMI [18]

Answer:

The rule for the linear function will be:

$f(x) = -2x+5$

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the function is linear

Taking two points from the table to determine the slope

(1, 3)

(2, 1)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(1,\:3\right),\:\left(x_2,\:y_2\right)=\left(2,\:1\right)$

$m=\frac{1-3}{2-1}$

$m=-2$

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (1, 3)

$y-y_1=m\left(x-x_1\right)$

$y - 3 = -2 (x-1)$

$y-3 = -2x+2$

adding 3 to both sides

$y-3+3 = -2x+2+3$

$y = -2x+5$

or

$f(x) = -2x+5$

Therefore, the rule for the linear function will be:

$f(x) = -2x+5$

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oee [108]

The first one is 43/72 which can’t be simplified

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