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Hello!
To find the equation of a line parallel to y = 3x - 3 and passing through the point (4, 15), we need to know that if two lines are parallel, then their slopes are equivalent.
This means that we create a new equation in slope-intercept form, which includes the original slope, which is equal to 3.
In slope-intercept form, we need a y-intercept. So, we would substitute the given ordered pair into the new equation with the same slope and solve.
Remember that slope-intercept form is: y = mx + b, where m is the slope and b is the y-intercept.
y = 3x + b (substitute the ordered pair (4, 15))
15 = 3(4) + b (simplify)
15 = 12 + b (subtract 12 from both sides)
3 = b
Therefore, the equation for the line parallel to the line y = 3x - 3, and passing through the point (4, 15) is y = 3x + 3.
Of the provided graphs, the second would be the correct answer.
Functions occur when the input only has one possible output (though the output can be recieved through multiple inputs)
Answer: y = 3+b
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
y = x + b
Where:
y = total number of ceramic cats
x = actual number of ceramic cats
b=new ceramic cats bought
Replacing with the value given:
y = 3+b
Where y is the dependant variable and b the independent variable.
Feel free to ask for more if needed or if you did not understand something.
