Find slope and y-intercept of following equation
y=-3 x -2 knowing the slope of intercept
5 formula is y=mx+b
slope is m or -3 y=-3 or m (0) -2 m=slope
5 5 y-intercept = let x=o
solve for y
y=0-2
y=-2
You can tell by inspecting the equation in the y = mx + b form that the slope is m = -3 and the y intercept is -2 in this case. So, your answers are correct. I don't understand you thought process, however, nor where the 5's come from
I apologize for the confusion caused by the wrong explanation. Let me clarify the correct approach to finding the slope and y-intercept.
Given the equation y = -3x - 2, we can identify the slope and y-intercept by comparing it with the standard form of a linear equation, y = mx + b.
The general form of a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept. In this case, our equation is already in the standard form, so we can directly determine the slope and y-intercept.
The coefficient of x gives us the slope, which is m = -3. This tells us that for every 1 unit increase in the x-coordinate, the y-coordinate will decrease by 3 units.
The constant term, -2, gives us the y-intercept, which is the value of y when x = 0. So, when x = 0, we substitute it into the equation:
y = -3(0) - 2
y = -2
Hence, the y-intercept is -2, implying that the graph of the equation intersects the y-axis at the point (0, -2).
To summarize:
- The slope (m) of the equation y = -3x - 2 is -3.
- The y-intercept (b) of the equation y = -3x - 2 is -2.