Question #4b6d3

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Question #4b6d3

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Answer 1 · 2017-05-11T18:59:42

The equation for this is $y = 3 x + 1$ $y=3x+1$ . See below.

Explanation:

Okay, so we're given the slope (m) and a certain coordinate and we are asked to find the equation.

The way we do this is by using the slope-intercept formula,
$y = m x + b$ $y=mx+b$ .

$y$ $y$ = y coordinate
$m$ $m$ = slope
$x$ $x$ = x coordinate
$b$ $b$ = y-intercept

So, in order to solve for $b$ $b$ (since we already have $m$ $m$ ), we need to put in the values we are given:

$4 = 3 (1) + b$ $4=3(1)+b$
$y$ $y$ = $4$ $4$
$m$ $m$ = $3$ $3$
$x$ $x$ = $1$ $1$
$b$ $b$ = $?$ $?$

$4 = 3 (1) + b$ $4=3(1)+b$
$4 = 3 + b$ $4=3+b$
$4 - 3 = 3 + b - 3$ $4-3=3+b-3$
$4 - 3 = 3 + b$ $4-3=3+b$ (The $3's$ cancel out)
$1=b$

So now that we have solved for $b$ , we can now put it in our equation:

$y=3x+1$

Now, you might be wondering, why aren't we putting the values for x and y in the equation? That is because the point will not always be (1,4), it could be something else. Therefore, it is not constant.

However, the slope and y-intercept (m and b) are constant.

Hope this helps!

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Question #4b6d3

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