Question

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

Answer 1

y=x-4

Explanation:

Slope intercept form of an equation uses the slope and the y intercept in the equation.

Slope intercept form is:

y=mx+b,

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

To get an equation in slope intercept form, we need to isolate y

y-4=x-8

Add 4 to both sides

y=x-4

So, the slope intercept form is

y=x-4, or the second choice

Answer 2

B. y = x - 4

Explanation:

Slope-intercept form is the equation that gives both the slope and y-intercept. The format is: y = mx + b, where m is the slope and b is the y-intercept.

Here, we have the equation y - 4 = x - 8. To make this into y = mx + b format, we need to add 4 to both sides to isolate y:

y - 4 + 4 = x - 8 + 4

y = x - 4

Thus, the answer is B: y = x - 4.

Hope this helps!