SOLUTION: Hello! Help Its all about graphing. Graph the linear equation using the slope and y-intercept. 1. y=1/5x+2 2. y=2x-3 3. y= -3/4x

Question 106069: Hello! Help
Its all about graphing.
Graph the linear equation using the slope and y-intercept.
1. y=1/5x+2
2. y=2x-3
3. y= -3/4x

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
1.

Solved by pluggable solver: Graphing Linear Equations

In order to graph we only need to plug in two points to draw the line

So lets plug in some points

Solved by pluggable solver: Graphing Linear Equations

In order to graph we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=-3

Multiply

Add

So here's one point (-3,-9)

Now lets find another point

Plug in x=-2

Multiply

Add

So here's another point (-2,-7). Add this to our graph

Now draw a line through these points

So this is the graph of through the points (-3,-9) and (-2,-7)

So from the graph we can see that the slope is (which tells us that in order to go from point to point we have to start at one point and go up 2 units and to the right 1 units to get to the next point) the y-intercept is (0,)and the x-intercept is (,0) ,or (,0)

We could graph this equation another way. Since this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,).

So we have one point (0,)

Now since the slope is , this means that in order to go from point to point we can use the slope to do so. So starting at (0,), we can go up 2 units

and to the right 1 units to get to our next point

Now draw a line through those points to graph

So this is the graph of through the points (0,-3) and (1,-1)

3.
Since, for some reason, the same way as previous two equations were solved doesn�t work for this one, we can find a solution for
by finding a line by slope and one point.
let point be (,) since and
slope

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 (0, 0)

it has a slope of -0.75

First, let's draw a diagram of the coordinate system with point (0, 0) 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=-0.75, 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:

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