Determine the equation of the line given by the graph.
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Answer:
We can tell by the graph that it has a positive slope. The
y-intercept is at positive 4. Trying to find the next whole number intercept point will be at (-2,0). Count up and over from that point to the y-intercept point, and put it in rise over run form... 5/2 (up 5, over 2). Now apply these known variables into the slope intercept form: y = mx + b.
The final answer is: y = (5/2)x + 5
M is the slope and B is the y-intercept.
The equation of the line in the graph is required.
The equation of the line is [tex]y=2x+4[/tex]
Two points on the line are
[tex](0,4)[/tex] and [tex](-2,0)[/tex]
The equation of a line is given by
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\Rightarrow y-4=\dfrac{0-4}{-2-0}(x-0)\\\Rightarrow y-4=2x\\\Rightarrow y=2x+4[/tex]
The equation of the line is [tex]y=2x+4[/tex]
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