Which can be the first step in finding the equation of the line that passes through the points (5, negative 4) and (negative 1,
8) in slope-intercept form?
2 answers:
Answer:
The equation of the line is y = -2x + 6
Step-by-step explanation:
The first step in finding the equation of the line is plotting the points. The next step is to go up 12 units from the bottom point to reach the second point. Then, go left 6 units to find the difference in x-values. Finally, use the slope to connect the points with a line.
I graphed the points and the line on the graph below.
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Answer:
Step-by-step explanation:
So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).
Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.
Slope of the line: m=
If you haven't been taught how to find the slope of a line I recommend you find out.
Substitute the slope into the equation.
Now, we will solve for the 'b,' or y intercept.
We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.
Last step: substitute the slope and y intercept into y=mx+b.
That is the answer to this problem.
I hope this helps.
