Slope and y-intercept in 3x-2y=10
my answer: slope-intercept form is y = 1.5x + 5 and the slope is 1.5 and the y-intercept is -5.
Hmm. your slope/intercept values are correct, so I assume a typo in your equation.
3x-2y=10
3x-10 = 2y
y = 1.5x - 5
help to assignment
2x+3y=10and3x+2y=10,ten X=
To find the slope and y-intercept of the equation 3x - 2y = 10, we need to rearrange the equation into the slope-intercept form, which is in the format y = mx + b. Here's how to do it step by step:
Step 1: Start with the given equation: 3x - 2y = 10.
Step 2: Move the 3x term to the other side of the equation by subtracting 3x from both sides: -2y = -3x + 10.
Step 3: Divide the entire equation by -2 to isolate y: y = (-3x + 10) / -2.
Step 4: Simplify the equation: y = -3/-2 * x + 10/-2.
Step 5: Further simplify the equation: y = 3/2 * x - 5.
Now our equation is in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept. So we can conclude that the slope is 3/2 and the y-intercept is -5.
Therefore, your answer is correct. The slope-intercept form is y = 1.5x + 5, and the slope is 1.5, while the y-intercept is -5.