The equation of the line in slope intercept form is y = - 1 / 2x + 4
<h3>How to write equation in slope intercept form?</h3>
The equation in slope intercept form is represented as follows:
y = mx + b
where
Therefore,
using the points (2, 3)(0, 4)
m = 4 - 3 / 0 - 2 = 1 / -2 = - 1 / 2
Hence,
b = 4
Therefore, the slope intercept equation of the line is as follows:
y = - 1 / 2x + 4
The y-intercept is value of y when x = 0
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Answer:

Step-by-step explanation:
Perpendicular lines will have slopes that are the multiplicative additive inverse of each other: a line with slope 3/4 is perpendicular to a line with slope -4/3, for example. You need a line that is perpendicular to a line with slope -2 (reading that from the -2 in the -2x portion of the given equation, which is written in slope-intercept form), so your new line must have slope +1/2.
With the slope and a point, we can come up with an equation using this formula:
y - y-coordinate = slope (x - x-coordinate)
So we have y - (-2) = 1/2 (x - 4).
Simplify the equation: y + 2 = 1/2 x - 2
Subtract 2 from both sides: y + 2 - 2 = 1/2 x - 2 - 2
Simplify: y = 1/2 x - 4.
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Answer: exact form: y= -23/4
Step-by-step explanation: move all the terms that doesn’t contain “y” to the right side and solve.