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Helga [31]
3 years ago
14

Find the equation of the linear function represented by the table below in slope-intercept form.

Mathematics
1 answer:
Degger [83]3 years ago
4 0

Answer:

y=10x-6

Step-by-step explanation:

step 1

Find the slope

we have

(0,-6) and (1,4)

The slope is equal to

m=(4+6)/(1-0)=10

step 2

Find the equation of the line in slope intercept form

The equation of the line in slope intercept form is

y=mx+b

we have

m=10

b=-6 -----> y-intercept (given value in the table)

substitute

y=10x-6

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Answer:

A) y=mx+b

B) The slope of a line is a number that describes both the direction and the steepness of the line. The slope of the line is either increasing, decreasing, horizontal or vertical.

C) m= rise/run =y2-y1/x2-x1

D) A rate of change describes how one quanity changes with respect to the other. The rate of Change for a line is the slope, the rise over run, or the change in y over the change in x.

E)The y-intercept of the line is the value of y where the line crosses the y-axis.

F)The x-intercept of the line is the value of x where the line crosses the x-axis.

G) The point-slope formula is y-y1=m(x-x1)

H)HOY stands for Horizontal line, slope =0, their equations are in the form y= a constant

I)VUX stands for Vertical line, slope =Undefined, their equations are in the form x= a constant

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K) The slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees

L) The similarities between parallel lines are they have the same steepness, or same angle from the horizontal. Since they have the same steepness they have the same slope.

M)The relationship between two lines that are perpendicular intersect at right angles. they are coplanar lines

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