Write an equation of a line in slope-intercept form with the given slope and y-intercept slope:8,y-intercept:-3

Question

asked Jul 21, 2023 103k views

2 Answers

Michael Capobianco · Answer 1 · 2023-07-23T21:48:34+0000

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$\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}$

What is the equation of the line in slope intercept form if its slope is 8 and its y-intercept is -3?

$\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}$

y=8x-3

$\blue{\textsf{\textbf{\underline{\underline{How to solve:-}}}}$

Slope Intercept form, as the name implies, has slope & intercept in its equation.

It looks like y=mx+b, where "m" is the slope and "b" is the y-intercept.

To determine the equation of the line, we need to write the value of m, which in this case is 8, in lieu of m:-

y=8x+b

Same with the y-intercept:-

$\tt{y=8x+(-3)}$

Which simplifies to

$\tt{y=8x-3}$

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