Question

Write an equation in slope-intercept form that goes through the points (4, 4) and (1, 2).

Answer 1

Step-by-step explanation:

Hey there!

The given points are; (4,4) and (1,2) as (x1,y1) and (x2,y2).

Note: Use double point formula for the equation.

Now;

$(y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)$

Put all values.

$(y - 4) = \frac{2 - 4}{1 - 4} (x - 4)$

Simplify it.

$(y - 4) = \frac{ - 2}{ - 3} (x - 4)$

$(y - 4) = \frac{2}{3} (x - 4)$

$(y - 4) = \frac{2}{3} x - \frac{2}{3} \times 4$

$y = \frac{2}{3}x - \frac{8}{3} + 4$

$y = \frac{2}{3} x - \frac{8 + 12}{3}$

$y = \frac{2}{3} x + \frac{4}{3}$

Therefore, the equation is; y = 2/3x+4/3.

Hope it helps...