Equations written in slope-intercept form follow a specific format.
y= mx+ b
Here, m represents the slope of the line and b represents the y-intercept. We can highlight the slope and the y-intercept in our equation so that it will be easier to draw the graph.
y=- x+7 ⇔ y= -1x+ 7
The slope is -1 and the y-intercept is 7.
Graphing the Equation
A slope of -1 means that for every unit we move in the positive horizontal direction, we move 1 unit in the negative vertical direction.
m = rise/run=-1/1
To graph the equation, plot the y-intercept and then use the slope to find another point on the line. Then, connect the two points with a straight line.
Identify the x-intercept
Now that we have graphed the given function, we can use our graph to identify the x-intercept. This is the point at which the line intercepts the x-axis.
The line crosses the axis at (7,0), so the x-intercept is 7.
