Write each equation in point-slope form.Slope: m=4m=4; Point: (1,−2)\left(1,-2\right)

y + 2 = 4 ( x − 1 ) y+2=4\left(x-1\right) y + 2 = 4 ( x − 1 )

Write each equation in point-slope form.Slope: m = 4 m=4 ; Point: ( 1 , − 2 ) \left(1,-2\right)

this problem, we are asked to write each equation in point slope form. Now notice in this problem, we have a slope given to us, m equals four, but we also have the point one, negative two. Now for point slope form, it looks like this. We're going to have y minus y one is equal to m, the slope, times x minus x one. Now x one y one refers to a point, and I can see that we have this point right about here. Our x one is gonna be this one, and then our y one is going to be this negative two. So since we have a point and we have our slope, we can go ahead and just put this in point slope form. So we're going to have y minus y one, and I can see y one is negative two. So we're gonna have minus negative two. That's equal to m, our slope, which I can see is four, times x minus x one, which I can see is one. So So we now have point slope form set up, and at this point, all I need to do is cancel these negatives to give me a positive, giving us y plus two is equal to four times x minus one. And this would be our equation for our line in point slope, or in in, yeah, in point slope form, and that is the solution to this problem. But as you can see, point slope form is best to use when you are given a point and the slope, hence the name, point slope form. So hope you found this video helpful, and let's move on and get some more practice.

Write each equation in point-slope form. Slope: m = 4 m=4 ; Point: ( 1 , − 2 ) \left(1,-2\right)

y + 2 = 4 ( x − 1 ) y+2=4\left(x-1\right) y + 2 = 4 ( x − 1 )

y − 2 = 4 ( x − 1 ) y-2=4\left(x-1\right) y − 2 = 4 ( x − 1 )

y − 4 = 2 ( x − 1 ) y-4=2\left(x-1\right) y − 4 = 2 ( x − 1 )

y + 4 = 2 ( x − 1 ) y+4=2\left(x-1\right) y + 4 = 2 ( x − 1 )

4. Graphs and Functions

Point Slope Form

Intermediate Algebra

4. Graphs and Functions

Point Slope Form

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Multiple Choice

Write each equation in point-slope form.
Slope: $m equals 4$ ; Point: $open paren 1 comma negative 2 close paren$

$y-2=4\left(x-1\right)$

$y-4=2\left(x-1\right)$

$y+4=2\left(x-1\right)$

$y+2=4\left(x-1\right)$

Verified step by step guidance

Recall the point-slope form of a linear equation, which is given by the formula: $y - y_1 = m(x - x_1)$, where $m$ is the slope and $(x_1, y_1)$ is a point on the line.

Identify the given slope $m$ and the coordinates of the given point. Here, the slope $m = 4$ and the point is $(1, -2)$.

Substitute the slope $m = 4$ into the formula, replacing $m$ with 4.

Substitute the coordinates of the point $(1, -2)$ into the formula, replacing $x_1$ with 1 and $y_1$ with -2.

Write the equation with these substitutions: $y - (-2) = 4(x - 1)$, which simplifies to $y + 2 = 4(x - 1)$, the point-slope form of the equation.

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