given the line in standard form, determine the slope, the y-intercept, and sketch the line. 8x-y=4

The Standard Form for a linear equation in two variables, x and y, is usually given as Ax + By = C , where, if at all possible, A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1.

Determine the slope and the y-intercept we can from "slope-intercept" form of a linear equation: y = mx + b

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Let's solve 8x - y = 4 for "y"

-8x -8x

- y = -8x + 4 ,

let's multiply both sides of equation by (-1) in order to leave "y" by itself

(-1)(-y)=(-1)(-8x)+(-1)(4) ------> y = 8x - 4

Graph crosses the y-axis at (0,-4) . Draw the coordinate plane, mark the -4 on the y-axis. From this dot move to the right one unit, then up 8 units. Mark the dot with coordinates (1,4). Draw the line through the dots (0,-4) and (1,4).