A line passes through the points (6, 2) and (5, 0). What is its equation in slope-intercept form?
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Answer:
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient (also known as slope) and c is the y-intercept (the point through which the line cuts through the y-axis).
Using the gradient formula above,
Substitute the value of m into the equation:
y= ½x +c
To find the value of c, substitute a pair of coordinates.
When x=4, y= -6,
-6= ½(4) +c
-6= 2 +c
c= -6 -2 <em>(</em><em>-2</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
c= -8 <em>(</em><em>simplify</em><em>)</em>
Thus, the equation of the line is y= ½x -8.