the point slope form of the equation of a line that passes through (8,4) and (0,2) is y-4=1/4(×-8) what is the slope intercept f

Question

3 years ago

5

orm of the equation for this line.

2 answers:

tankabanditka [31] · Answer 1 · 2022-03-07T18:05:39+03:00

8 0

Answer:

Step-by-step explanation:

DDD

marissa [1.9K] · Answer 2 · 2022-03-07T15:40:10+03:00

7 0

Answer:

$\large\boxed{y=\dfrac{1}{4}x+2}$

Step-by-step explanation:

The slope-intercept form of the equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

The point-slope form of the equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

We have the equation of a line:

$y-4=\dfrac{1}{4}(x-8)\to m=\dfrac{1}{4}$

and the point (0, 2) → b = 2.

Substitute:

$y=\dfrac{1}{4}x+2$