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A coordinate grid with 4 lines. Line A passes through (0, 5) and (4, 3.75). Line B passes through (3.75, 0) and (0, negative 5). Line C passes through (0, negative 5) and (negative 3.75, 0). Line D passes through (negative 3.75, 0) and (0, 5).
Which line represents the linear equation
–3y = 15 – 4x?

The equation –3y = 15 – 4x rewritten in slope-intercept form is
.

The y-intercept is
and the slope of the line is
.

Line
is the graph of the line –3y = 15 – 4x.


Sagot :

Answer:

Step-by-step explanation:

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Line B passes through (3.75, 0) and (0, negative 5) represents the line -3y = 15 – 4x. the slope of the line is = 4/3 and the y-intercept is -5.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.

What is a Line??

A line can be defined by the shortest distance between two points is called as a line.


Given the expression of the line,
–3y = 15 – 4x

Now by putting every given point of the lines given with their passing points in –3y = 15 – 4x , it is found that point (3.75, 0) and (0, -5) lies on the line.


Hence, the expression –3y = 15 – 4x represents line B.


Now, the slope and y-intercept of the equation.
Rearrange the equation into standard form,
y = 4/3 x - 5
Now compare the above equation with the standard form line
y = mx +c

m = 4/3 and c = -5

Thus, line B passes through (3.75, 0) and (0, negative 5) represents the line -3y = 15 – 4x. the slope of the line is = 4/3 and the y-intercept is -5.

Learn more about lines here:

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