deetermin the slope and the y-intercept of each question
#1
5x+2y=10
x= 1
y= 4 ?
To determine the slope and y-intercept of the equation 5x + 2y = 10, we need to rearrange the equation into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Step 1: Start with the given equation: 5x + 2y = 10.
Step 2: Subtract 5x from both sides of the equation to isolate the y-term: 2y = -5x + 10.
Step 3: Divide the entire equation by 2 to solve for y: y = (-5/2)x + 5.
Now that the equation is in slope-intercept form (y = mx + b), we can identify the slope and y-intercept:
The slope (m) is the coefficient of x, which in this case is -5/2.
The y-intercept (b) is the constant term, which in this case is 5.
Therefore, the slope of the equation is -5/2 and the y-intercept is 5.