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?

 The required slope-intercept form of the given line is

Step-by-step explanation:  Given that the point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is as follows :

We are to find the slope-intercept form of the equation (i).

We know that

the slope-intercept form of the equation of a straight line with slope m and y-intercept c is given by

From equation (i), we have

Thus, the required slope-intercept form of the given line is

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: