7
You cannot graph a line by only knowing the point in which a slope passes through. You need to either know two coordinate points (which is what the slope passes through), or you need to know the slope-intercept equation to graph a line (slope-intercept equation is y=mx+b).
For example, if the slope at a certain point is 1.5, you can draw a line that goes through the specified point, with that slope. The line would represent the slope at that point. If you want to graph the slope at ALL POINTS, take the derivative of the function, and graph the derivative. The derivative shows the slope of a function at all points.
The slope of a line can be determined by examining the graph; only one line through a point has a particular slope.
x + y = 5y = -x + 5The graph is a straight line, with [ slope = -1 ], passing through the point [ y = 5 ] on the y-axis.
6
Nothing particular. The graph of y = x2, for example, changes slope at each point on the graph.
The graph is a straight line, with a slope of 40, passing through the point y=50 on the y-axis.
Y = X + 1The graph is a straight line, with [ slope = 1 ], and passing through the point [ Y = 1 ] on the Y-axis.
17
y = x - 3The graph is a straight line, passing through the point [ y = -3 ] on the y-axis,and having a slope of [ 1 ].
For example, if the slope at a certain point is 1.5, you can draw a line that goes through the specified point, with that slope. The line would represent the slope at that point. If you want to graph the slope at ALL POINTS, take the derivative of the function, and graph the derivative. The derivative shows the slope of a function at all points.
If the slope is undefined, then its a vertical line (up and down) .So draw a vertical line (up and down) that goes through -2 on the x-axis.
y = -x + 2The graph is a straight line, with [slope = -1], and passing through the point [y=2] on the y-axis.
17
The graph of [ y = 7 ] is a straight horizontal line, passing through the point [ y = 7 ]on the y-axis. The slope of a horizontal line is zero.
The slope of a line can be determined by examining the graph; only one line through a point has a particular slope.
A straight line with a positive slope, passing through the origin.
The graph is a straight line, passing through the origin, with a slope equal to the speed of the wave.