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Sagot :
Answer:
[tex]y=-\frac{x}{6}+\frac{4}{6}[/tex]Step-by-step explanation:
Equation of a line:
The equation of a line, in slope-intercept formula, is given by:
y = mx + b
In which m is the slope and b is the y-intercept.
To find the slope, we select two points. The slope is the change in y divided by the change in x.
In this question:
Points (4,0) and (-2,1) .
Change in y: 1 - 0 = 1
Change in x: -2 -4 = -6
So the slope is:
1/-6 = -1/6
The equation has the format:
y = (-1/6)x + b
Since it passes through the point (4,0), we have that when x = 4, y = 0. So
0 = (-1/6)*4 + b
b - 4/6 = 0
b = 4/6
So the equation of the line is:
[tex]y=-\frac{x}{6}+\frac{4}{6}[/tex]
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