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 – 12
y = x – 4
y = x + 2
y = x + 6

Answer 1

Answer:

y = x - 4

Step-by-step explanation:

Rewrite y – 4 = (x – 8) in slope-intercept form.  To do this, solve the given equation for y:

y - 4 = x - 8  →  y = 4 + x - 8, or y = x - 4

Answer 2

As the point-slope form is given, we will simplify it;

                                $y-4=x-8$

By adding +4 on both the sides, we get:

                            ⇒$y=x-8+4$

                           ⇒$y=x-4$

The slope-intercept form of the equation for this line is y=x-4.

Hence, the correct answer is option (b).

What is slope y-intercept form?

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

What is slope-intercept form example?

Examples. y = 5x + 3 is an example of the Slope Intercept Form and represents the equation of a line with a slope of 5 and and a y-intercept of 3. y = −2x + 6 represents the equation of a line with a slope of −2 and and a y-intercept of 6.

Learn more about slope-intercept, refer to:

https://brainly.com/question/1884491

#SPJ2