Substitute the values of (-6, 5) into the formula of: y-y1 = m(x-x1)
y-5 = 1/3(x-(-6))
y-5 = 1/3x+2
y = 1/3x+7
So when x = 3 then y = 8
As a straight line equation: y = -3x+b whereas -3 is the slope and b is the y intercept whose value has not been given
Slope of a straight line is the same at all points on the line, whereas for a curved line it changes.
The steepness of a straight line is described by its slope, which quantifies the change in the vertical direction (rise) relative to the change in the horizontal direction (run). Mathematically, the slope (m) is calculated as ( m = \frac{\Delta y}{\Delta x} ). A positive slope indicates the line rises as it moves from left to right, while a negative slope indicates it falls. A slope of zero represents a horizontal line, and an undefined slope corresponds to a vertical line.
Yes, a line with a positive slope is a function as long as it passes the vertical line test, meaning that for each value of x, there is only one corresponding value of y. A positive slope indicates that as x increases, y also increases, which maintains the definition of a function. Since a straight line has a consistent slope and does not repeat y-values for the same x-value, it qualifies as a function.
The gradient of the straight line
The straight line equation works out as y = 1/3x+7 So when x = 3 y = 8 Answer: k = 8
The straight line with no slope is a point
A slope is 0 if it is a straight horizontal line. A slope is undefined if it is a straight vertical line.
It tells you the relationship between the X value and the Y value is constant.
As a straight line equation: y = -3x+b whereas -3 is the slope and b is the y intercept whose value has not been given
Slope of a straight line is the same at all points on the line, whereas for a curved line it changes.
slope thatequals zereo
The steepness of a straight line is described by its slope, which quantifies the change in the vertical direction (rise) relative to the change in the horizontal direction (run). Mathematically, the slope (m) is calculated as ( m = \frac{\Delta y}{\Delta x} ). A positive slope indicates the line rises as it moves from left to right, while a negative slope indicates it falls. A slope of zero represents a horizontal line, and an undefined slope corresponds to a vertical line.
the formula for slope is y=mx+b, a horizontal line has the slope of zero and the slope of a vertical line can be answered as undefined
Yes, a line with a positive slope is a function as long as it passes the vertical line test, meaning that for each value of x, there is only one corresponding value of y. A positive slope indicates that as x increases, y also increases, which maintains the definition of a function. Since a straight line has a consistent slope and does not repeat y-values for the same x-value, it qualifies as a function.
As a straight line equation: y = -3x+b whereas -3 is the slope and b is the y intercept whose value has not been given
If it is a straight line, then yes.