Question

Which can be the first step in finding the equation of the line that passes through the points (5,-4) and (-1,8) in slope-intercept form?8-(-4) 12-12--2Calculate -1-5Calculate 8-(-4) 12-1-5 -6Find that the point at which the line intersects with the line y = 0 is (3,0).Find that the point at which the line intersects with the line X=Y is (2, 2).

Answer 1

The first step to finding the equation of the line in the slope-intercept form is to find the slope.

So, to find the slope we can use the following equation:

`m=(y_2-y_1)/(x_2-x_1)`

Where (x1, y1) and (x2, y2) are points of the line.

Therefore, if we replace (x1, y1) by (5, -4) and (x2, y2) by (-1, 8), we get that the first step is to calculated:

y2 - y1 = 8 - (-4) = 8 + 4 = 12

x2 - x1 = -1 - 5 = -6

Answer: Calculate 8 - ( - 4 ) = 12

Calculate - 1 - 5 = -6