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What is the equation of the line that passes through the points (-2, 2) and (0, 5)?
Solution:
In order to find the equation of the line we can use the slope intercept form
The slope-intercept form of a straight line is used to find the equation of a line.
For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis.
y = mx + b
Where m is the slope
b is the y-intercept
We know that
m = (y2 - y1)/ (x2 - x1)
Substituting the values we get
m = (5 - 2) / (0 + 2)
m = 3/2
To find b, we can solve using the point (0, 5)
5 = 3/2 (0) + b
b = 5
So we get
y = 3/2 x + 5
Therefore, the equation of the line is y = 3/2 x + 5.
What is the equation of the line that passes through the points (-2, 2) and (0, 5)?
Summary:
The equation of the line that passes through the points (-2, 2) and (0, 5) is y = 3/2 x + 5.
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