Question

Learning Task 3. Find the equation of the line. Do it in your notebook.
(a) In slope intercept form y = mx + b
(b) in standard form ax + by = c
1. The slope is 5 passing through (-1, 4).
2. The line passes through point (3,-4) and (-2, 2)
3. The slope is 3 and the y-intercept is (0,4)
4. The x intercept -3 and the y-intercept is 6
5. Passing through the points (-1, -2) and (5,3)​

Answer 1

Given : The slope is 5 passing through (-1,4).

To Find : (a) In slope intercept form y = mx + b

(b) in standard form ax + by = 1.

Solution:

The slope is 5

passing through (-1,4)

y = mx + b

m = 5

=> y = 5x + b

passing through (-1,4)

=> 4 = 5(-1) + b

=> 4 = -5 + b

=> 9 = b

=> y = 5x  +  9

   y = mx  + b

=> -5x  + y  = 9

=> -5x/9  + y/9  = 1

=> (-5/9)x  + (1/9)y = 1

     ax + by = 1

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