Question

The equation of a line is y = 1.5x − 2. What are its slope and y-intercept?

Answer 1

$\triangleright$Hii! $\triangleleft$

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$\triangleright$ $\stackrel\circ{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}}}\circ\leftharpoonup$ $\triangleleft$

• Slope = 1.5 ✅
• Y intercept = -2 ✅

$\stackrel\circ{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}}}\circ\leftharpoonup$

$\bullet$ Let's start by examining the equation we are working with more closely

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This particular equation is provided to us in "slope intercept form".

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The slope intercept formula is "$\boldsymbol{y=mx+c}$"

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In this formula  the letter "m" denotes the slope; the letter "c" denotes the y intercept.

(Remember, variables (letters) represent numbers! ^__^)

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$\bullet$ Above is all the information we need to come up with a solution to the given problem! ^^

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Now it's time we considered this.

"What is the slope & y intercept of the equation y=1.5x-2?"

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If in the formula y=mx+c, the slope is m, then what is the slope in the equation y=1.5x-2?

The slope is $\large\boxed{\mid \boldsymbol{1.5} \mid}}$.

The y intercept is $\large\boxed{\mid \boldsymbol{-2} \mid}}$

$\Large\text{Great job!! c:}$

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Hope that this helped! Best wishes!

$\textsl{Reach far. Aim high. Dream big.}$

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Answer 2

You need to use y=mx+c to answer this so basically

gradient/slope (m) is 1.5 and the y-intercept (c) is -2

Hope this helps :)