Question

I need help with this. I honestly forgot how to do algebra 1 and I know that’s embarrassing for me but yea I need help on this whole thing I think I did 1-3 wrong too

Answer 1

The required equation of slope intercept the line parallel to the given line and passing through (4,5) is  y = -1/4x + 6.

What exactly does slope intercept mean?

• A method of expressing a line's equation that makes it simple to identify the slope and y-intercept is known as the slope-intercept form.
• The point where the line is drawn the y-axis is known as the y-intercept, and the slope refers to how steep the line is.

         

1)   5x + y = 3

   y = - 5x + 3

compare equation y = mx + c

        m = -5  

2) 7x - 5y = 20

      5y = 7x - 20

   y = 7/5x - 4

compare equation y = mx + c

      m = 7/5

3) y = -1/3x - 4

 compare equation y = mx + c

         m = -1/3

4) points ( 4,5) parallel to y = 1/4x - 4

               m₁  = m₂

  compare equation y = mx + c

             m₁ = 1/4  c = -4

now lets put the value

                  1/4 = m₂

So the equation of the line parallel to the given line assuming that its y-intercept is b will be

 y = 1/4x + b

the equation of the parallel line which passes through

(4,5, it should satisfy these points.

So let's substitute these points

5 = -4/4 + b

5 = -1 + b

b =  6

Hence the required equation of the line parallel to the given line and passing through (4,5) is

            y = -1/4x + 6

Learn more about slope-intercept form

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