Aline goes through the points (8,9 and (-2,4) (a)what is the slope of the line? show your work (b)write the equation of the line in point-slope form. show your work (c)write the equation of the line in slope-intercept form. show your work.

The answers are as follows:

a) 1/2

b) y - 9 = 1/2(x - 8)

c) y = 1/2x + 5

Step-by-step explanation:

To find the slope of this line, we use the slope formula.

m (slope) = (y2 - y1)/(x2 - x1)

m = (4 - 9)/(-2 - 8)

m = -5/-10

m = 1/2

Now that we have the slope, we can use that and either point to write in point-slope form.

y - y1 = m(x - x1)

y - 9 = 1/2(x - 8)

Finally, to get the slope intercept form of the line, take the point slope form and solve for y.

y - 9 = 1/2(x - 8)

y - 9 = 1/2x - 4

y = 1/2x + 5

step-by-step explanation:

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.