Respuesta :

Answer:

[tex]y=-6x+3[/tex]

Step-by-step explanation:

we know that

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

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

we have

[tex]m=-6[/tex]

[tex]b=3[/tex] ------> is the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero -----> is the given point

substitute

[tex]y=-6x+3[/tex]

Answer:

y = -6x+3

Step-by-step explanation:

We have given a point that is passing through the line and slope of the line.

(0,3) and slope = m = -6

We have to find slope-intercept form of the line that passes through the given point and has slope.

y  = mx+c is slope-intercept form of the line where m is slope and c is y-intercept.

y-intercept is a point where the value of x is zero.

hence, c = 3.

Putting given values in above formula, we have

y = (-6)x+(3)

y = -6x+3 which is the answer.

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