Question

I WILL GIVE YOU 20 POINTS AND THE BRAINLYEST

Answer 1

Answer/Step-by-step explanation:

✍️Slope of the line using two points, (2, 2) and (6, 10),

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 2}{6 - 2} = \frac{8}{4} = 2$

✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).

Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.

2 = (2)(2) + b

2 = 4 + b

2 - 4 = b

-2 = b

b = -2

Substitute m = 2 and b = -2 in y = mx + b.

✅The equation would be:

$y = 2x + (-2)$

$y = 2x - 2$

✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.

$8 = 2(a) - 2$

$8 = 2a - 2$

Add 2 to both sides

$8 + 2 = 2a$

$10 = 2a$

Divide both sides by 2

$\frac{10}{2} = a$

$5 = a$

a = 5

✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.

$b = 2(4) - 2$

$b = 8 - 2$

$b = 6$