This table represents a function plot the points to represent the function as a graph

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

6 0

Answer:

The graph in the attached figure N 2

Step-by-step explanation:

The complete question in the attached figure N 1

we have the ordered pairs

(-4,9),(-1,3),(0,1),(2,-3)

Using a graphing tool

Plot the given ordered pairs in the coordinate plane

Remember that

In a ordered pair (x,y), the first coordinate is the location of the point in the x-axis and the second coordinate is the location of the point in the y-axis

see the attached figure

The graph represent a line

<em>Find the equation of the line</em>

<em>Find the slope</em>

take two points

$(0,1),(2,-3)\\m=(-3-1)/(2-0)=-2$

The equation of the line in slope intercept form is equal to

$y=mx+b$

we have

$m=-2\\b=1$

substitute

$y=-2x+1$

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Line l contains points (2,4) and (5,1). Point p has coordinates (1,1) find the distance between p to l

alexdok [17]

Answer:

The distance ${\textbf{d}}=\frac{\bf{4}}{\sqrt{\bf2}}$

Step-by-step explanation:

To find Distance between Point and a Line

The distance between a point and a line, is defined as the shortest distance between a fixed point and any point on the line. It is the length of the line segment that is perpendicular to the line and passes through the point.

The distance d from a point to the line ax+by+c=0 is

$d=\frac{|a(x_0)+b(y_0)+c|}{\sqrt(a^2+b^2)}$