Respuesta :

Answer:

slope-intercept form: y=5x-3 point-slope form: y-7=5*(x-2)

Step-by-step explanation:

Y-y1=m(x-x1)

plug in the values and you get y=5x-3

[tex]\huge\boxed{\mathcal{HELLO!:)}}[/tex]

Since we are given the slope of the line and a point that it passes through, we can easily determine the equation of the line.

First of all, we need to write it in Point-Slope Form:

[tex]\huge\boxed{\boxed{\rm{y-y1=m(x-x1)}}}[/tex]

Where y1 is the y-coordinate of the point, m is the slope, and x is the x-coordinate of the point.

Plug in the values and solve:

[tex]\huge\rm{y-7=5(x-2)[/tex]

[tex]\rm{y-7=5x-10[/tex]

[tex]\rm{y=5x-10+7}\\\rm{y=5x-3[/tex]

[tex]\huge\boxed{\mathbb{ANSWER:{\boxed{\bold{y=5x-3}}}}}[/tex]

[tex]\bigstar\star[/tex] Hope it helps! Enjoy your day!

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