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3 years ago

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Three lines are described below. Write an equation in slope-intercept form for each line.

1 answer:

grigory [225]3 years ago

7 0

a. Equation in slope-intercept form of a line parallel to y = 2/5x +1 will be: y = 2/5x + 5

b. Equation in slope-intercept form of a line perpendicular to y = 2/5x +1 will be: y = -5/2x + 1

c. Equation in slope-intercept form of a line that is neither parallel nor perpendicular to y = 2/5x +1 will be: y = 3x + 1

<h3>Slope-intercept Equation of Parallel and Perpendicular Lines</h3>

Slope-intercept equation, where b is the y-intercept and b m is the slope is represented as y = mx + b.
Equations of parallel lines have the same slope.
Equations of perpendicular lines will have slope that are negative reciprocal of each other.
If two lines are neither parallel nor perpendicular, their equation will have different slopes, and the slope of one is not the negative reciprocal of each other.

Therefore:

a. Equation in slope-intercept form of a line parallel to y = 2/5x +1 will be: y = 2/5x + 5

b. Equation in slope-intercept form of a line perpendicular to y = 2/5x +1 will be: y = -5/2x + 1

c. Equation in slope-intercept form of a line that is neither parallel nor perpendicular to y = 2/5x +1 will be: y = 3x + 1

Learn more about slope-intercept form on:

brainly.com/question/25826868

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2 years ago

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Given the equation $6x-3y=5.$

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B. $\left(6,-3\right)$ , this means that $x=6, y=-3.$ Substitute these numbers into the left side of the equation equation:

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C. $\left(1,-\dfrac{11}{3}\right)$ , this means that $x=1, y=-\dfrac{11}{3}.$ Substitute these numbers into the left side of the equation equation:

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