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?

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

While the point-slope equation of a line is given by:

Where:

m: It's the slope

It is a point through which the line passes

In this case we have a line through:

(8,4) and (0,2)

Therefore, its slope is:

Its point-slope equation is:

Then, we manipulate the expression to find the equation of the slope-intersection form:

Therefore, the cut-off point with the y-axis is

7

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