Question

Learning Task 2. Find the equation of the line . Write in slope intercept form
and in standard form
1. m = -5, b= 1
3. (-2, 0) and (0,5)
2. (1, -2), (3, 3)
4. a = 2, b = -7
5.m=2,(3,-1​)

Answer 1

Answer:  

(1)  m = -5, b= 1

    $\frac{x}{a} + \frac{y}{b} = 1$  

put b=1 (given)

$\frac{x}{a} + \frac{y}{1} = 1$ => y = -x/a + 1

-1/a is representing slope here which is given as -5

-1/a = -5 => a = 1/5

slope intercept form

y = mx +b

y = -5x + 1

standard form

5x +y = 1

(2). (1, -2), (3, 3)

m = 5/2

slope intercept form

y - 3 = 5/2*( x -3)

y = 5x/2  -9/2

standard form

5x -2y = 9

(3). (-2, 0) and (0,5)

  m = 5/2

slope intercept form

y - 0 = 5/2 ( x+2)

y = 5x/2 + 5

standard form

5x -2y = -10

(4). a = 2, b = -7

   $\frac{x}{2} + \frac{y}{-7} =1$

slope intercept form  

y = 7x/2 -7

standard form

7x -2y =14

(5). m=2,(3,-1​)

  slope intercept form  

y +1 = 2(x -3)

y = 2x -7

standard form

2x -y = 7