SOLUTION: Find the value of r so the line that passes through each pair of points has the given slope the the question is (4,-5),(r,3) m=8

Question 791325: Find the value of r so the line that passes through each pair of points has the given slope the the question is (4,-5),(r,3) m=8

Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Use the slope formula:

where and are the coordinates of the given points.

Plug in the values you know, replace the remaining variable with and then solve for

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

use the "point-slope" formula:

given:
(,),(,) and
....plug in (,) and

.....eq.1

....plug in (,) and

.....eq.2
since in both eq.1 and eq.2, left sides are equal, make right sides equal too

so, other point is (,) and equation of a line is
.....eq.2

.....eq.2
the line that passes through each pair of points will be:

Solved by pluggable solver: FIND a line by slope and one point

What we know about the line whose equation we are trying to find out:

it goes through point (4, -5)

it has a slope of 8

First, let's draw a diagram of the coordinate system with point (4, -5) plotted with a little blue dot:

Write this down: the formula for the equation, given point and intercept a, is

(see a paragraph below explaining why this formula is correct)

Given that a=8, and , we have the equation of the line:

Explanation: Why did we use formula ? Explanation goes here. We are trying to find equation y=ax+b. The value of slope (a) is already given to us. We need to find b. If a point (, ) lies on the line, it means that it satisfies the equation of the line. So, our equation holds for (, ): Here, we know a, , and , and do not know b. It is easy to find out: . So, then, the equation of the line is: .

Here's the graph:

Solved by pluggable solver: FIND a line by slope and one point

What we know about the line whose equation we are trying to find out:

it goes through point (4.25, 3)

it has a slope of 8

First, let's draw a diagram of the coordinate system with point (4.25, 3) plotted with a little blue dot:

Write this down: the formula for the equation, given point and intercept a, is

(see a paragraph below explaining why this formula is correct)

Given that a=8, and , we have the equation of the line:

Explanation: Why did we use formula ? Explanation goes here. We are trying to find equation y=ax+b. The value of slope (a) is already given to us. We need to find b. If a point (, ) lies on the line, it means that it satisfies the equation of the line. So, our equation holds for (, ): Here, we know a, , and , and do not know b. It is easy to find out: . So, then, the equation of the line is: .

Here's the graph:

as you can see, both lines have a slope

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