Answer:
The equation would be y = -1/2x + 8
Step-by-step explanation:
To find the equation of the line, we start by find the slope. Perpendicular slopes have opposite and reciprocal slopes. since the original slope is 2, then the perpendicular slope is -1/2.
Now, using the point and the slope in point-slope form, we can find the equation.
y - y1 = m(x - x1)
y - 6 = -1/2(x - 4)
y - 6 = -1/2x + 2
y = -1/2x + 8
The equations that is perpendicular to y = 2x + 5 and passes through the point (4 , 6) is y = - 1/2 x + 8
For an equation to be perpendicular to the another line equation the product of there slope will be negative one. Therefore,
Therefore, the slope of y = 2x + 5 is 2. The equation should have the following slope:
2m₂ = - 1
m₂ = -1 / 2
A linear equation is represented as follows:
m = slope
b = y-intercept
Therefore,
let use the point (4 , 6) to find b
6 = - 1/2 (4) + b
6 = -2 + b
b = 6 + 2
b = 8
The equation will be as follows:
y = - 1/2 x + 8
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