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Graph 2x-5y=10 using the slope and y-intercept.

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Final answer:

To graph 2x-5y=10 using the slope and y-intercept, rearrange the equation to slope-intercept form, y=mx+b. The slope is 2/5 and the y-intercept is -2. Plot the y-intercept and use the slope to find other points and connect them to graph the line.

Step-by-step explanation:

To graph 2x-5y=10 using the slope and y-intercept, we need to rearrange the equation into slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept.

So, let's rearrange the equation: 2x-5y=10 to solve for y:

  1. Subtract 2x from both sides: -5y = -2x + 10
  2. Divide both sides by -5: y = 2/5x - 2

Now that the equation is in slope-intercept form, we can see that the slope is 2/5 and the y-intercept is -2.

To graph the equation, we start by plotting the y-intercept at (0, -2) on the coordinate plane. From there, we use the slope to find other points. For example, if we move 5 units to the right, the y-value will increase by 2. Similarly, if we move 5 units to the left, the y-value will decrease by 2. Connect these points to graph the line.

Learn more about Graphing a linear equation

User Ben Fortune
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