Question

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = 1/4 (x – 8). What is the slope-intercept form of the equation for this line?
y = y = 1/4x - 12.x – 12
y = y = 1/4x - 4.x – 4
y = y = 1/4x + 2.x + 2
y = y = 1/4x + 6.x + 6

Answer 1

Answer:

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

Step-by-step explanation:

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

$y=mx+b$

m - slope

b - y-intercept

We have the equation in the point-slope form.

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

Convert to the slope-intercept form:

$y-4=\dfrac{1}{4}(x-8)$    multiply both sides by 4

$4y-16=x-8$           add 16 to both sides

$4y=x+8$             divide both sides by 4

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