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Which can be the first step in finding the equation of the line that passes through the points 5,-4 and -1,8 in slope-intercept form?

Respuesta :

gmany

Step-by-step explanation:

First step:

Calculate a slope.

The formula of a slope:

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

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the points (5, -4) and (-1, 8). Substitute:

[tex]m=\dfrac{8-(-4)}{-1-5}=\dfrac{12}{-6}=-2[/tex]

Put the value of the slope and the coordinates of the point (5, -4) to the equation of a line:

[tex]-4=-2(5)+b[/tex]

[tex]-4=-10+b[/tex]            add 10 to both sides

[tex]6=b\to b=6[/tex]

Finally:

[tex]y=-2x+6[/tex]

lbuigbo2314

Answer:

Slopes Between Points on a Line. The purpose of this instructional task is to help students understand why the calculated slope will be the same for any two points on a given line. This is the first step in understanding and expla. ... this lesson, students transform the standard form of an equation into slope-intercept form.

Step-by-step explanation:

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