Four tysm if you are answering ! write an equation of the line passing through the given point that is parallel to the given line for the following: (i put a picture bc it’s easier for me and hopefully for you) you so so much

17. Equation :

18: Equation:

19: Equation:

20: Equation:

Step-by-step explanation:

Using the Slope-Intercept Form for the following questions:

Equation of line: where m is the slope and b is the y-intercept.

17. A(3, -4),

First substitute the slope from the original line (i.e. -1 in this case) into the equation of line.

       .....(1)

Now, substitute the given point A(3,-4) in the equation (1), we have;

∴

Substitute the value of b=-1 in the Slope-Intercept form i.e,

Therefore, the equation of the line passing through the given point that is parallel to the given line is, .

18. A(-6, 5) ,

First substitute the slope from the original line (i.e.   in this case) into the equation of line.

       .....(1)

Now, substitute the given point A(-6, 5) in the equation (1), we have;

∴

Substitute the value of b=8 in the Slope-Intercept form i.e,

Therefore, the equation of the line passing through the given point that is parallel to the given line is, .

19. A(2,0),

First substitute the slope from the original line (i.e. 3 in this case) into the equation of line.

      .....(1)

Now, substitute the given point A(2, 0) in the equation (1), we have;

∴

Substitute the value of b=-6 in the Slope-Intercept form i.e,

Therefore, the equation of the line passing through the given point that is parallel to the given line is,

20. A(3, -1),

First substitute the slope from the original line (i.e.   in this case) into the equation of line.

       .....(1)

Now, substitute the given point A(3, -1) in the equation (1), we have;

∴

Substitute the value of b=-2 in the Slope-Intercept form i.e,

Therefore, the equation of the line passing through the given point that is parallel to the given line is, .

a is the right answer

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation: