Question

(80 POINTS AND WILL GIVE BRAINIEST) 1. Write an equation in point-slope form for the line that passes through the given points (3,3), (6,7) 2. Write an equation in point slope form through the given points (1,-3), (4,-15)(the answer isn’t y=-4x+1)

Answer 1

Answer:

We can calculate the slope by doing (y2-y1) / (x2-x1).

With our given points ​(−3 "x1​",5​ "y1") and  ​(3 "x2"​,3 "y2​") the equation is going to be (3 - 5) / (3 + 3), which gives us -2 / 6 and can be further broken down into -1 / 3.

Now that we know our slope is (-1 / 3) we can move on to doing the point-slope and the slope-intercept form.

Point-slope form is y−y1=m(x−x1).

y - 5 = -1 /3 (x + 3)   <-This is the point slop form of the given points.

Slope-intercept form is y = mx + b. (m =  slope and b = y-axis point

5 = -1 / 3x (-3) + b

5 = 3 / 3 + b

5 = 1 + b

5 - 1 = 0 + b

b = 4

The slope intercept form is y = - 1 / 3x + 4