The slope and y-intercept of a linear equation can be identified directly from the graph. In this case, the y-intercept is 9 and the slope is 3, making the equation of the line y = 3x + 9.
In Mathematics, we often work with linear equations, which can be represented graphically as a straight line. The slope and y-intercept are two key aspects of this equation and can be obtained directly from the graph. Specifically for problem 6, your line graph has x on the horizontal axis and y on the vertical axis, and intersects the y-axis at the point (0,9). This tells us that the y-intercept (represented by b in the equation) is 9. Furthermore, the slope (represented by m in the equation) is the rise over run, or change in y over change in x. In this case, for every 1 unit increase in x, y increases by 3 units, so the slope is 3. Therefore, the standard form of the line equation would be "y = 3x + 9."
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To find the area of a square, remember that a square is a type of rectangle so we can use the following formula to find its area.
Area = length × width
However, since the length and width of a square are always equal, we use a special version of this formula to find the area of a square.
Instead of area = length × width, we say that the area of a square is equal to side × side or s².
I'll show an example.
Image provided.
Since each side of a square is the same, it can simply be the length of one side squared. So multiply the sides by one another say your square had a length of 10 and to find the area multiply the other side length since all squares mostly have the same side length multiply it by ten again and you get 100.
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A. z = -42
B. z = -34
C. z = 30
D. z = 42