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# Slope Intercept Form?

Next, find the equation of the line that passes through the points (1,8) and (4,4). Enter exact answers only (no approximations), and write the equation in slope-intercept form (y=mx+b) if possible.

would it be y-8=-4/3(1)+b?

### 2 Answers

Relevance
• ?
Lv 7
2 months ago

Slope intercept form is

y = mx + b

---------------------

Use the two points to find the slope, m

m = rise/run

m = ∆y / ∆x

m = (y₂ - y₁) / (x₂ - x₁)

m = (4 - 8) / (4 - 1)

m = -4/3

----------------------

to find "b" use m = -4/3 and either point

using point (1, 8)

y = mx + b

8 = (-4/3)(1) + b

Convert to 3rds

24/3 = -4/3 + b

Ad 4/3 to both sides

28/3 = b

-------------------------

Using m = -4/3 and b = 28/3 the slope intercept equation can be writen

y = (-4/3)x + 28/3 <––––––

• Alan
Lv 7
2 months ago

No,  your equation must include an x term

slope = (4-8) / ( 4-1) = -4/3

to find b

yes,

y = (-4/3)x +b

b = y  + (4/3)x     = 8  + (4/3)*1 =   24/3  + 4/3 = 28/3

y = (-4/3)x  +   28/3

so if you try to use point slope form .

(y -8)  =  (-4/3) (x  -1)

y- 8 = (-4/3)x    + 4/3

y = (-4/3)x   + 8 + 4/3

Gives the same answer in slope intercept form

y = (-4/3)x   +   28/3

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