145k views
13 votes
Someone pls help I’m kinda slow I need serious help

Someone pls help I’m kinda slow I need serious help-example-1

1 Answer

8 votes

Unfortunately the very last part of problem 1 is cut off. The slope number is missing. So currently I cannot help with it.

The good news is that I can help with problem 2.

The slope is m = -2 and the point the line goes through is
(x_1,y_1) = (4,2)\\ which is a compact way of saying
x_1 = 4 and
y_1 = 2 pair up together.

We'll plug those three values into the point slope equation below. Then we'll solve for y.


y-y_1 = m(x-x_1)\\\\y-2 = -2(x-4)\\\\y-2 = -2x-2(-4)\\\\y-2 = -2x+8\\\\y = -2x+8+2\\\\y = -2x+10\\\\

The answer to problem 2 is y = -2x+10

This equation is in y = mx+b form

  • m = -2 = slope
  • b = 10 = y intercept

To find any two points on this line, plug in any x value you want to get a paired y value. Let's say we plugged in x = 0

y = -2x+10

y = -2*0+10

y = 10

This shows x = 0 leading to y = 10. The point (x,y) = (0,10) is on this line.

Through similar calculations, you should find (1,8) is another point on the line. Also, plug in x = 4 and it should lead you to y = 2 as a way to confirm the answer.

Once you have at least two points, you can plot them on the same xy grid. Then draw a straight line through them to complete the graph.

User Emma Assin
by
5.7k points