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blagie [28]
4 years ago
15

What is the equation for a line that passes through the points (5,-4) and (-10,17

Mathematics
1 answer:
zloy xaker [14]4 years ago
3 0

The equation of line passing through (5,-4) and (-10,17) is:

y = -\frac{7}{5}x+3

Step-by-step explanation:

Given points are:

(x1,y1) = (5,-4)

(x2,y2) = (-10,17)

The equation of line in slope-intercept form is given by:

y = mx+b

First of all, we have to find the slope of the line

Slope is given by:

m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{17-(-4)}{-10-5}\\m = \frac{17+4}{-15}\\m = \frac{21}{-15}\\m = -\frac{7}{5}

Putting the value of slope in the equation

y = -\frac{7}{5}x+b

To find the value of b, putting (5,-4) in equation

-4 = -\frac{7}{5}(5) + b\\-4 = -7 +b\\b = 7-4\\b = 3

Putting the value of b:

y = -\frac{7}{5}x+3

Hence,

The equation of line passing through (5,-4) and (-10,17) is:

y = -\frac{7}{5}x+3

Keywords: Equation of line, slope

Learn more about equation of line at:

  • brainly.com/question/2367554
  • brainly.com/question/2670657

#LearnwithBrainly

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Answer:

D. -4

Step-by-step explanation:

the only graph I see is a red line in a coordinate grid.

this red line represents the function y = -4, for x in the interval [-1,4].

so, [-1,4] is the domain of the function, and [-4] is the range of the function.

when the question asks about what values are graphed below, and it mentions "range", I assume it means functional values (results of the function).

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7 0
4 years ago
Complete the square to transfer into vertex form and find the vertex: f(x)= x^2+6x-22
ioda

Answer:

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of  

b

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(

b

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2

=

(

−

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Simplify the equation.

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x

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2

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±

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The result can be shown in multiple forms.

Exact Form:

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Decimal Form:

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Step-by-step explanation:

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