Write equation of line given 2 points (1,4) (8,-10)

The slope is (-10-4)/(8-1) = -2

The standard form of the equation is therefore
y = -2x + b.
To get b, use one of the points and the above equation & write
-10 = -2*8 + b
This tells you that
b = 6
y = -2x + 6

To write the equation of a line given two points (x1, y1) and (x2, y2), you can use the slope-intercept form of a line, which is y = mx + b.

The first step is to find the slope of the line. The slope (m) is given by the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the two points into the formula, we get:

m = (-10 - 4) / (8 - 1)
m = -14 / 7
m = -2

Now that we have the slope, we can proceed to find the y-intercept (b).

Using the formula y = mx + b and substituting the values of one of the points, say (1, 4), we get:

4 = -2(1) + b
4 = -2 + b
b = 6

Finally, we have the slope (m = -2) and the y-intercept (b = 6), so we can write the equation of the line as:

y = -2x + 6