Questions: Graph this line using the slope
y=7x-9
Click to select points on the graph
Transcript text: Graph this line using the slope
\[
y=7 x-9
\]
Click to select points on the gra
Solution
Solution Steps
Step 1: Identify the y-intercept
The equation is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. In the given equation, y = 7x - 9, the y-intercept is -9. This means the line crosses the y-axis at the point (0, -9).
Step 2: Identify the slope
The slope of the line is 7, which can be written as 7/1. This means that for every 1 unit moved to the right along the x-axis, the line moves up 7 units along the y-axis.
Step 3: Find a second point
Starting from the y-intercept (0, -9), move 1 unit to the right (x increases by 1) and 7 units up (y increases by 7). This gives the point (1, -2).
Final Answer:
The line passes through the points (0, -9) and (1, -2). Click on these points on the graph to draw the line.