What is the equation of a line that goes through the point (0, -5) and has a slope of -3?
2 answers:
Answer:
y = -3x - 5
Step-by-step explanation:
The equation of a line is given as either:
where m is the slope, and b is the y-intercept.
or
where given that you have a point (x, y), y₁ is the y-value of the point, m is the slope, and x₁ is the x-value of the point.
We can just plug in the point (0, -5) into the second equation and -3 for the slope.
<em>However,</em> (0, -5) tells us that this point must be a <u>y-intercept</u>, since the x-value of that point is 0. So, we can also just plug into the first equation -5 for the y-intercept and -3 for the slope.
So, we get:
y = -3x + (-5)
Which simplifies into:
y = -3x - 5
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Answer:
Valentina and Laura finished the same total number of shirts in hours.
Total number of shirts finished by Valentina
Total number of shirts finished by Laura
Step-by-step explanation:
Suppose that Valentina and Laura finished the same total number of shirts in hours.
Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.
Total number of shirts finished by Valentina
Laura can get through 3 shirts per hour and Laura has completed 11 shirts.
Total number of shirts finished by Laura
Therefore,
So,
Valentina and Laura finished the same total number of shirts in hours.
Total number of shirts finished by Valentina
Total number of shirts finished by Laura