Respuesta :

altavistard

Answer:

y = (-6/7)x - 1

Step-by-step explanation:

There's a dot where this line crosses the y-axis; it's represented by the point (0, -1).  Consequently, the y-intercept, b, of this line is -1.

As x increases from -6 to 0, y decreases from 7 to -1.  The change in x is 7 units and the change in y is -6 units.  Thus, the slope of this line is

m = rise / run = -6 / 7.

Again, the y-intercept is b = -1.

Thus, inserting the knowns into the slope-intercept form of the equation of a straight line results in:

y = (-6/7)x - 1

The equation that represents the line using exact numbers is [tex]4x + 3y +3=0[/tex] and this can be determined by using the point-slope form.

Given :

Points - (0,-1) and (3,-5)

To determine the equation of a line, a point-slope form of the line can be used. The point-slope form is given by the equation:

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]   ---- (1)

where, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.

Now, put the values of  [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the equation (1).

[tex]\dfrac{y+1}{x-0}=\dfrac{-5+1}{3-0}[/tex]

[tex]3(y+1)=-4x[/tex]

[tex]3y+3=-4x[/tex]

[tex]4x + 3y +3=0[/tex]

The equation that represents the line using exact numbers is [tex]4x + 3y +3=0[/tex].

For more information, refer to the link given below:

https://brainly.com/question/2263981

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