Questions: Graph this line using the slope and y-intercept: y=8x-4

Transcript text: Graph this line using the slope and $y$-intercept: \[ y=8 x-4 \]

Solution

Solution Steps

Step 1: Identify the y-intercept

The equation of the line is given in slope-intercept form $ y = mx + b $, where $ m $ is the slope and $ b $ is the y-intercept. Here, $ b = -4 $.

Step 2: Plot the y-intercept

Plot the point (0, -4) on the graph. This is where the line crosses the y-axis.

Step 3: Use the slope to find another point

The slope $ m $ is 8, which means for every 1 unit increase in $ x $, $ y $ increases by 8 units. Starting from (0, -4), move 1 unit to the right (x = 1) and 8 units up (y = 4). Plot the point (1, 4).

Final Answer

The line passes through the points (0, -4) and (1, 4). Draw a straight line through these points to graph the equation $ y = 8x - 4 $.

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