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What is the meaning of the slope of a straight line graph?
The slope is therise divided by the run. Or in Cartesian coordinate terms: delta Y / delta X It is how steep the line is. 0 slope is parallel to the X axis. A slope of 1 rises 1 unit Y for every unit X (up and to the right)
What is the solution to the equation y equals -2.5?
The equation y = -2.5 represents a horizontal line on the Cartesian plane passing through the point (-2.5, 0). This line is parallel to the x-axis and has a slope of 0. The solution to this equation is all real numbers on the y-axis that have a value of -2.5.
What does the b mean in y equals mx plus b?
If the equation Y = mX + b is graphed on standard Cartesian orthogonal x-y coordinates, then: -- the graph is a straight line -- 'm' is the slope of the line -- 'b' is the Y-intercept, i.e. the number where the line crosses the Y-axis, i.e. the value of 'Y' when X = 0 .
How do I write an equation in standard form for a line satisfying the given condition. Through -2 and 9 and -2 and 7.?
In general, if a line passes through the points (a, b) and (c, d), its equation can be written as:y - b = [(d - b)/(a - c)](x - a)In this case, however, the formula is not necessary -- and in fact, attempting to apply it in its current form would result in a division by zero error. Instead, however, we can simply note that from (-2, 9) to (-2, 7) the x-coordinate does not change. This can only be the case if the line is vertical, meaning that the x-coordinate never changes. The line can therefore be represented by the equation x = -2.
How do you find the equation of a tangent line to the graph of fx equals x cubed and x equals -2?
Calculate the derivative of the function.Use the derivative to calculate the slope at the specified point.Calculate the y-coordinate for the point.Use the formula for a line that has a specified slope and passes through a specified point.
