Graph this line:y+4=2(x–2)

Sure, here are the steps to graph the line y + 4 = 2(x - 2):

Step 1: Simplify the equation First, distribute the 2 on the right side of the equation to get: y + 4 = 2x - 4.

Step 2: Solve for y Next, subtract 4 from both sides to isolate y: y = 2x - 8.

Step 3: Identify the slope and y-intercept The equation y = 2x - 8 is in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. Here, the slope (m) is 2 and the y-intercept (b) is -8.

Step 4: Plot the y-intercept On your graph, plot the y-intercept at the point (0, -8).

Step 5: Use the slope to find another point The slope is 2, which means for every 1 unit increase in x, y increases by 2 units. Starting from the y-intercept (0, -8), move 1 unit to the right and 2 units up to find the point (1, -6).

Step 6: Draw the line Draw a line through the points (0, -8) and (1, -6). This line represents the equation y + 4 = 2(x - 2).