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 3/4 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)

Step-by-step explanation:

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

 y=mx+b

y=5x+b [slope is 5]

4 = 5(-1) + b  [Find b by solving for b with the given point]

b = 9

y=5x+9

2. The line passes through point (3, -4) and (-2, 2)  

Calculate slope from the "rise" over the "run."

Rise = (-4 - 2) = -6

Run = (3-(-2)) =  5

Slope - Rise/Run = -6/5 or -1.2

y = -1.2x + b

Use either given point to find b.

y = -1.2x + b  for (3,-4)

-4 = -1.2(3) + b

-4 = -3.6 + b

b = -0.4

y = -1.2x - 0.4

3. The slope is 3/4 and the y-intercept is (0,4)

y = mx + b

y = (3/4)x + b

The y-intercept is 4: b = 4

y = (3/4)x + 4

4. The x intercept -3 and the y-intercept is 6

The x-intercept can be written as (-3,0) and the y-intercept as (0,6).

Calculate the slope between these two points (Rise/Run).  Rise= (6-0), or 6,  Run= (0-(-3)), or 3.  Rise/Run (Slope) = 6/3 or 2

y = 2x + b   b = 6 (y-intercept is (0,6)

y = 2x + 6

5. Passing through the points (-1, -2) and (5, 3)

y = mx + b

Slope:  Rise = (3-(-2)) = 5, Run = (5-(-1))= 6  Slope = Rise/Run Slope = (5/6)

y = (5/6)x + b

Calculate b:  

y = (5/6)x + b for (-1,-2)

b = y-(5/6)x

b =-2-(5/6)*(-1)

b = -2 + (5/6)

b = (-12/6) + (5/6) = -(7/6)

y = (5/6)x - (7/6)

For each problem, rearrange the solution to the standard form ax + by = c

1.  y=5x+9

-5x + y = 9

2.  y = -1.2x - 0.4

1.2x + y = -0.4

3.  y = (3/4)x + 4

-(3/4)x + y = 5

4.  y = 2x + 6

-2x + y = 6

5.  y = (5/6)x - (7/6)

-(5/6)x + y = -(7/6)

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.