How do you find the general form of the line that passes through (-2, 7) and (4, 9)?

Answer 1

The equation of the line in standard form is # x -3y = -23#

The slope of the line passing through #(-2,7) and (4,9)# is #m= (y_2-y_1)/(x_2-x_1)= (9-7)/(4+2)=2/6=1/3#
Let the equation of the line in slope-intercept form be #y=mx+c or y=1/3x+c#.
The point (-2,7) will satisfy the equation . So, # 7= 1/3*(-2)+c or c= 7+2/3= 23/3 = 7 2/3#
Hence the equation of the line is #y= 1/3x+23/3 or x -3y = -23##
The equation of the line in standard form is # x -3y = -23# {Ans]
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To find the general form of the line passing through (-2, 7) and (4, 9), first calculate the slope using the formula: ( m = \frac{{y_2 - y_1}}{{x_2 - x_1}} ). Then, use the point-slope form ( y - y_1 = m(x - x_1) ) with one of the given points to derive the equation. Finally, rewrite the equation in the general form ( Ax + By + C = 0 ).

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7