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:
- Subtract 2x from both sides: -5y = -2x + 10
- 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