The question says on my homework: Find the slope and y-intercept of the line 2y+5x-6=0. How do you do it?
2y = 6 - 5x
y = 3 - 5/2 x
this is in the form y = mx + b where m is the slope and b is the y-intercept.
therefore -5/2 is the slope, 3 is the y-intercept
To find the slope and y-intercept of a linear equation in the form of Ax + By + C = 0, you can follow these steps:
Step 1: Rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
Given equation: 2y + 5x - 6 = 0
To rearrange the equation, first, isolate the y-term:
2y = -5x + 6
Next, divide every term by 2 to solve for y:
y = (-5/2)x + 3
Now that we have the equation in slope-intercept form, we can identify the slope and y-intercept.
Step 2: Identify the slope (m) and the y-intercept (b) from the slope-intercept form.
In the equation y = (-5/2)x + 3, the coefficient of x (-5/2) represents the slope (m), and the constant term 3 represents the y-intercept (b).
Therefore, the slope (m) of the line is -5/2, and the y-intercept (b) is 3.
In summary, the slope of the line is -5/2, and the y-intercept is 3.