Since m/slope = 2/3 and b/y-intercept = -1, the equation would be:
y = 2/3x - 1
hope this helps !!
A line is a one-dimensional shape that is straight. The equation of the given line in slope-intercept form can be written as y=(5/6)x -2.
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The given line goes through two points, (0, -2) and (6, 3). Therefore, the slope of the given line can be calculated as,
Slope, m = (-2 - 3)/(0 - 6) = -5 / -6 = 5/6
Further, it can be seen that the line intersects the y-axis of the graph at (0, -2), therefore, the y-intercept of the given line is -2.
Since the equation of a line in slope intercept form is written as y=mx+c. Therefore, substituting the slope and the y-intercept in the equation.
y=mx+c
y=(5/6)x -2
Thus, the equation of the given line in slope-intercept form can be written as y=(5/6)x -2.
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