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erma4kov [3.2K]
3 years ago
14

Which equation in standard form has a graph that passes through the point (5, −2) and has a slope of 72 ?

Mathematics
1 answer:
aalyn [17]3 years ago
4 0

Given:

Consider the graph passes through the point (5, −2) and has a slope of \dfrac{7}{2}.

To find:

The equation of graph in standard form.

Solution:

Point slope form of a line is

y-y_1=m(x-x_1)

where, m is slope and (x_1,y_1) is the point lies on the line.

Slope is \dfrac{7}{2} and graph passes through (5,-2), so the equation of line is

y-(-2)=\dfrac{7}{2}(x-5)

y+2=\dfrac{7}{2}(x-5)

Multiply both sides by 2.

2(y+2)=7(x-5)

2y+4=7x-35

4+35=7x-2y

39=7x-2y

The required equation is 7x-2y=39.

Therefore, the correct option is B.

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