6x-5y=15
what is the slope?
what is the y-intercept?
Rewrite the equation to standard form.
6x-5y=15
(6/5)x-y=3
y=(6/5)x-3
The coordinates for y intercept is always in the (0,_) format. Y-intercept is what is added or subtracted. The coefficient on x (number multiplied to x) is slope.
slope=6/5
y-intercept=(0,-3)
To find the slope and y-intercept of the equation 6x - 5y = 15, we need to rearrange the equation into slope-intercept form, which is in the form of y = mx + b. From this form, we can easily identify the slope (m) and the y-intercept (b).
Let's start by rearranging the given equation:
6x - 5y = 15
To isolate the y-term, we will subtract 6x from both sides of the equation:
-5y = -6x + 15
Next, we need to solve for y by dividing the entire equation by -5 to get y in terms of x:
y = (6/5)x - 3
Now that we have the equation in slope-intercept form, we can identify the slope and the y-intercept:
The slope (m) is the coefficient of x in the equation, which is 6/5.
Therefore, the slope is 6/5.
The y-intercept (b) is the constant term in the equation, which is -3.
Therefore, the y-intercept is -3.