Question

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = y minus 4 equals StartFraction one-fourth EndFraction left-parenthesis x minus 9 right-parenthesis.(x – 8). What is the slope-intercept form of the equation for this line? A)y = y equals Start Fraction one-fourth End Fraction x – 12 B)y = y equals Start Fraction one-fourth End Fraction x – 4 C)y = y equals Start Fraction one-fourth End Fraction x + 2 D)y = y equals Start Fraction one-fourth End Fraction x + 6

Answer 1

To find the slope-intercept form of the equation for the line that passes through the points (8, 4) and (0, 2), we first need to find the slope of the line using the point-slope form you provided:

y - 4 = (1/4)(x - 8)

Now, let's simplify this equation:

y - 4 = (1/4)x - 2

Now, add 4 to both sides to isolate y:

y = (1/4)x + 2

So, the equation of the line in slope-intercept form is:

y = (1/4)x + 2

The correct option is:

C) y = (1/4)x + 2

Explanation: