Question

3 pts What is the Slope-Intercept form of the equation of a line that passes through the point (-6, -3) and is parallel to the line y = 2x – 3? ​

Answer 1

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`\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}`

What is the S.I. form of the equation that passes through (-6,3) and is parallel to y=2x-3?

`\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}`

Parallel lines have the same slope.

`\bigstar` The line y=2x-3 has a slope of 2, therefore, the line parallel to it has a slope of 2.

Now let's write the equation of the new line in point-slope form:-

`\sf{y-y_1=m(x-x_1)}`

Replace y1 with -3, m with 2, and then write -6 in lieu of x1:-

`\sf{y-(-3)=2(x-(-6)}`

On simplification,

`\sf{y+3=2(x+6)}`

On further simplification,

`\sf{y=2x+12-3}`

Which results in:-

`\sf{y=2x-9}`

▲ our slope-intercept equation

Good luck with your studies.

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