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 for this line?

Answer 1

Slope-intercept form: y = 1/4x + 2

Explanation:

The general equation of the point-slope form is given by:

(y - y1) = m(x - x1), where

• m is the slope.

The general equation of the slope-intercept form is given by:

y = mx + b, where

• m is the slope,
• and b is the y-intercept.

We can convert y - 4 = 1/4(x - 8) by distributing the 1/4 and isolating y on the left-hand side:

y - 4 = (1/4 * x) + (1/4 * -8)

(y - 4 = 1/4x - 2) + 4

y = 1/4x + 2

Thus, the slope-intercept form of the line passing through the points (8, 4) and (0, 2) is y = 1/4x + 2.