Question

y = -9x + 1
click to select points on the graph.

Explanation:

Step1: Find y-intercept

The equation is in slope - intercept form \(y = mx + b\), where \(b\) is the y - intercept. For \(y=-9x + 1\), when \(x = 0\), \(y=1\). So the point is \((0,1)\).

Step2: Find another point

Let's choose \(x = 1\). Substitute \(x = 1\) into the equation \(y=-9(1)+1=-9 + 1=-8\). So the point is \((1,-8)\). We can also choose \(x=- 1\), then \(y=-9(-1)+1 = 9 + 1=10\), the point is \((-1,10)\).

To graph the line \(y=-9x + 1\), we can plot the points we found, for example, \((0,1)\) (the y - intercept) and \((1,-8)\) (or other points calculated from the equation) and then draw a straight line through them.

Answer:

To graph \(y = - 9x+1\), plot the y - intercept \((0,1)\) (from \(x = 0,y=1\)) and another point like \((1,-8)\) (from \(x = 1,y=-9(1)+1=-8\)) and draw a line through these points.