Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

A line has a slope of -3 and passes through the point
passes through the point (-2, -3/2)
By substituting into the equation y = mx + b, find the value of b for this line


Sagot :

Answer:

If I am not mistaking it should be -7.5

Step-by-step explanation:

Answer:

  b = -15/2

  y = -3x -15/2

Step-by-step explanation:

The value of the y-intercept can be found from a point and the slope of the line by solving the slope-intercept equation for the intercept.

__

intercept

  y = mx + b . . . . . . . equation of a line with slope m and y-intercept b

  y -mx = b . . . . . . . . subtract mx from both sides

For the point (x, y) = (-2, -3/2) and slope m = -3, the value of b is ...

  b = -3/2 -(-3)(-2) = -3/2 -6

  b = -15/2 . . . . . the value of b for this line

__

equation of the line

Then the equation for the line is ...

  y = mx +b

  y = -3x -15/2