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the line has a slope of 7 and passes through the point (5,3)

Sagot :

The equation of the line is in the form

[tex]y=mx+b[/tex]

in which m represents the slope of the line and b is the y-intercept.

according to the information given m=7

to find the y-intercept we can use the point given.

[tex]y=7x+b[/tex]

using point (5,3)

[tex]\begin{gathered} 3=7(5)+b \\ 3=35+b \\ 3-35=b \\ -32=b \end{gathered}[/tex]

the equation of the line is

[tex]y=7x-32[/tex]