Question

graph this line using the slope and y-intercept:
y = -9x + 7
click to select points on the graph.
(graph with x-axis from -10 to 10 and y-axis from -10 to 10, grid lines, and axes labeled.)

Explanation:

Step1: Identify the y - intercept

The equation is in the form \(y = mx + b\), where \(b\) is the y - intercept. For \(y=-9x + 7\), \(b = 7\). So, the line crosses the y - axis at the point \((0,7)\).

Step2: Identify the slope

The slope \(m=-9=\frac{-9}{1}\). From the y - intercept \((0,7)\), use the slope to find another point. Move 1 unit to the right (increase \(x\) by 1) and 9 units down (decrease \(y\) by 9). So, from \((0,7)\), we get the point \((1,7 - 9)=(1,-2)\).

Answer:

Plot the points \((0,7)\) and \((1,-2)\) and draw a straight line through them.