Question

Построить график уравнения 2x-y+3=0

Answer 1

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Answer 2

Graphing the Equation 2x - y + 3 = 0

To graph the equation 2x - y + 3 = 0, we can rearrange it into the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Let's solve for y:

2x - y + 3 = 0

Subtract 2x from both sides:

-y = -2x - 3

Multiply both sides by -1 to isolate y:

y = 2x + 3

Now we have the equation in slope-intercept form. The slope, m, is 2, and the y-intercept, b, is 3.

To graph this equation, we can plot a few points and draw a line through them. Let's choose some x-values and calculate the corresponding y-values:

When x = -3: y = 2(-3) + 3 = -6 + 3 = -3 So we have the point (-3, -3).

When x = 0: y = 2(0) + 3 = 0 + 3 = 3 So we have the point (0, 3).

When x = 3: y = 2(3) + 3 = 6 + 3 = 9 So we have the point (3, 9).

Now we can plot these points on a graph and draw a line through them.


The graph of the equation 2x - y + 3 = 0 is a straight line with a slope of 2 and a y-intercept of 3.