Graph the equation.

y + 5 = –2(x – 4)

Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago

To graph the equation y + 5 = -2(x - 4), we first need to get it into slope-intercept form (y = mx + b).

y + 5 = -2(x - 4)
y + 5 = -2x + 8
y = -2x + 3

Now that the equation is in slope-intercept form, we can see that the slope is -2 and the y-intercept is 3.

To graph the equation, start by plotting the y-intercept at y = 3 on the y-axis. Then, use the slope to find another point on the line. Because the slope is -2, we can go down 2 units and over 1 unit to find another point on the line. Connect the two points with a straight line to graph the equation.

The graph of y = -2x + 3 is a line that decreases from left to right, intersecting the y-axis at y = 3.

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