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
V= x+6

Answer 1

Answer: y = -x + 2

Explanation:

Point slope form is y - y = m(x - x)

m = the slope of the line

Slope-intercept form is y = mx + b

m = the slope of the line

b = y-intercept

So because the - is in the m spot in the point-slope form, that means that is the slope of the line meaning it will also be in the m spot in slope-intercept form. The y-intercept of the line is found when x is 0. When we look at the two coordinates provided you can see that one of them shows when x is 0. We see that when x is 0, y is 2 which means that the y-intercept is 2.

So when you put the 2 in place of b, you get y = -x + 2