SOLUTION: Please show me step by step how to graph this problem. Such as start point 3 and go up 2 over 3. That would help The equation is y=-2x+3 thank you

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Question 196479: Please show me step by step how to graph this problem. Such as start point 3 and go up 2 over 3. That would help

The equation is y=-2x+3

thank you
Answer by vleith(2983) (Show Source):
You can put this solution on YOUR website!
The equation you are given is in slope intercept form.
Where b is the y intecept (so one point on the line is (0,3) and the slope is -2
Slope is rise/run, So go down 2 units and to the right 1. Then plot another point. Keep doing that as many times as you wish. All the points will fall on the same line.

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, 3)

it has a slope of -2

First, let's draw a diagram of the coordinate system with point (0, 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=-2, 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: