Which equation of a line has a slope of -2/3 and passes through 0-1
1 answer:
Answer:
Step-by-step explanation:
The equation for a line with slope m=-2/3 through point (0,-1) can be written in three forms: standard, slope-intercept, and point-slope. Slope-intercept is most common and since (0,-1) is the y-intercept we will choose that equation form.
Slope intercept form is y=mx+b where m is slope and b is the y-intercept value. Here m=-2/3 and y-intercept is -1.
We write it as .
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Using the discriminant, the quadratic equation that has complex solutions is given by:
x² + 2x + 5 = 0.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>A quadratic equation is modeled by:
y = ax² + bx + c
The discriminant is:
The solutions are as follows:
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, it has 2 real solutions.
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, it has 1 real solutions.
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, it has 2 complex solutions.
In this problem, we want a negative discriminant, hence the equation is:
x² + 2x + 5 = 0.
As the coefficients are a = 1, b = 2, c = 5, hence:
More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811
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