Question

What in slope-intercept form, can go through the line ( a, 2a) and (-5a, 6a)

Answer 1

• y = -2/3x + 8/3a

Explanation:

Given points

• (a, 2a) and (-5a, 6a)

Slope-intercept form

• y = mx + b

Slope of the line is

• m = (6a - 2a)/( -5a - a) = 4a/(-6a) = - 2/3

The y-intercept is:

• 2a = -2/3*a + b
• b = 2a + 2/3a
• b= 8/3a

So the line is:

• y = -2/3x + 8/3a

Answer 2

y = -2/3 - 8/3a

Explanation:

Find the slope using [ y2-y1/x2-x1 ]

6a-2a/-5a-a

4a/-6a

-2/3

Find the y-intercept.

y = mx + b

y = -2/3x + b

2a = -2/3(a) + b

-8/3a = b

y = -2/3 - 8/3a

Best of Luck!