Graph the line y=kx+1 if it is known that the point M belongs to it:
b
M(2, −7)

Let be [tex]y = k\cdot x +1[/tex] the expression of the line, where [tex]x[/tex] and [tex]y[/tex] are the independent and dependent variables, respectively. If we know that [tex]x = 2[/tex] and [tex]y = -7[/tex], the value of [tex]k[/tex] is:

[tex]-7 = 2\cdot k +1[/tex]

[tex]2\cdot k = -8[/tex]

[tex]k = -4[/tex]

The equation of the line is [tex]y = -4\cdot x +1[/tex], which is graphed below.

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ibiscollingwood ibiscollingwood · Answer 2 · 2022-02-15T11:46:51+01:00

The graph of equation of given line attached below.

Equation of line:

Given that equation of line is,

[tex]y=kx+1[/tex]

since, line passes through [tex]M(2,-7)[/tex].

Substitute point in given equation of line.

[tex]-7=2k+1\\\\2k=-8\\\\k=-8/2=-4[/tex]

So that, equation of line becomes, [tex]y=-4x+1[/tex]

Graph of equation of line attached below.

Learn more about the equation of line here;

https://brainly.com/question/18831322

Graph the line y=kx+1 if it is known that the point M belongs to it: b M(2, −7)

Respuesta :

Equation of line:

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Graph the line y=kx+1 if it is known that the point M belongs to it:
b
M(2, −7)