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A line intersects the points (0,-4) and (1,2) what is the slope intercept equation for this line?

A Line Intersects The Points 04 And 12 What Is The Slope Intercept Equation For This Line class=

Sagot :

Answer:

[tex]y=6x-4[/tex]

Step-by-step explanation:

First we have to know how to write a equation in Slope-Intercept Form!

Slope-Intercept Form: [tex]y=mx+b[/tex]

where y = y axis, m = slope, x = x intercept and b = y-intercept

Now start by solving the slope

To find the Slope, you must find two points

Two points will be: [tex](0,-4)[/tex] and [tex](1,2)[/tex]

Then use the Slope-Formula to identify the slope

[tex]m=slope[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{2--4}{1-0}[/tex]

[tex]m=\frac{6}{1}[/tex]

[tex]m=6[/tex]

The Slope is 6

The y-intercept is already given by the point (0, -4)

Note: (this goes to this situation because the point has a 0 of x intercept)

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