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2 years ago

(For this equation any non-integer values should be entered as fractions)

1 answer:

8 0

<span> y = 2/7 x - 1/7
slope = 2/7
</span><span>perpendicular lines, slope is opposite and reciprocal
</span>so slope of new line = -7/2
<span>passes through the point (9,-32)
</span><span>slope-intercept form: y = mx + b
so
b = y - mx
b = -32 - (-7/2)(9)
b = -32 + 63/2
b = -1/2

equation in </span>slope-intercept form:
y = -7/2 x - 1/2

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Always

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2 years ago

Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of

drek231 [11]

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

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1 year ago

Y = (x) = (1/16)^x<br> Find f(x) when x = (1/4)

Naddik [55]

Answer:

1/2

Step-by-step explanation:

(1/16)^x

Let x = 1/4

(1/16)^ 1/4

Rewriting 16 as 2^4

(1/2^4)^ 1/4

We know that 1 / a^b = a^-b

(2 ^ -4)^ 1/4

We know that a^b^c = a^(b*c)

2^(-4*1/4)

2^-1

We know that a^-b = 1/ a^b

2^-1 = 1/2^1 = 1/2

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2 years ago

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The slope of the line below is 0.8. Write the equation of the line in point-slope

AlexFokin [52]

The equation of the line is y = 0.8x - 1.4 if the slope of the line is 0.8 and line passes through coordinates (-2,-3)

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

The slope m = 0.8

The line passing through coordinates (-2,-3)

y = mx + c

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Plug the point in the equation.

-3 = 0.8(-2) + c

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y = 0.8x - 1.4

Thus, the equation of the line is y = 0.8x - 1.4 if the slope of the line is 0.8 and line passes through coordinates (-2,-3)

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

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