Home > Algebra > Write an Equation Given the Slope and a Point

How do you write an equation of a line given no slope, (-3, 3/4)?

Answer 1

See the entire solution process below:

If no slope is given we can let the slope = #m#.

Given the point we can use the point-slope formula to write the equation for this problem. The point-slope formula states: #(y - color(red)(y_1)) = color(blue)(m)(x - color(red)(x_1))#

Where #color(blue)(m)# is the slope and #color(red)(((x_1, y_1)))# is a point the line passes through.

Substituting the values from the point in the problem and letting the slope equal #m# the equation is:

#(y - color(red)(3/4)) = color(blue)(m)(x - color(red)(-3))#

#(y - color(red)(3/4)) = color(blue)(m)(x + color(red)(3))#

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Answer 2

Julia Adams

To write the equation of a line when only given a point and no slope, you can use the point-slope form of a linear equation:

y - y₁ = m(x - x₁)

Since the slope (m) is not given, you can use the given point (-3, 3/4) to substitute for (x₁, y₁). Then, solve for the equation:

y - 3/4 = m(x + 3)

Without knowing the slope, you cannot fully determine the equation of the line.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.