The equation of the line is [tex]\bold{y = \frac{2}{3}x-2}[/tex]
The correct answer is an option (C)
What is slope of the line?
"It is the change in y coordinate with respect to the change in x coordinate."
What s y-intercept?
"It is the point at which the line intersects the Y-axis."
What is slope-intercept form of line?
"y = mx + c, where m is the slope and cis the y-intercept."
For given question,
A line has slope 2/3 and y–intercept -2.
So, m = [tex]\frac{2}{3}[/tex] and c = -2
Substitute these value in the slope-intercept form of line,
[tex]\Rightarrow y = mx + c\\\\\Rightarrow y = \frac{2}{3}x+(-2)\\\\ \Rightarrow y = \frac{2}{3}x-2[/tex]
Therefore, the equation of the line is [tex]\bold{y = \frac{2}{3}x-2}[/tex]
The correct answer is an option (C)
Learn more about the equation of the line here:
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