Write each equation in slope-intercept form.
Underline the slope and circle the y-intercept in each equation.
4y=–6+4x
all i got is that the y int. is -3/2 and that is correct
4y = 4x - 6
y = x - 3/2
so your slope is 1 , and
the y-intercept is -3/2 <---- you had that correct
To write the given equation in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept, we need to isolate the y variable.
Given equation: 4y = -6 + 4x
Step 1: Move the constant term to the other side of the equation by adding 6 to both sides:
4y + 6 = 4x
Step 2: Divide the entire equation by 4 to solve for y:
y = (4x + 6)/4
Simplifying the expression on the right side:
y = x/1 + 3/2
Now, we can identify the slope and y-intercept.
The equation is now in the form y = mx + b, where m is the coefficient of x, and b is the constant term.
The slope (m) is 1 (since x/1 is equivalent to x), and the y-intercept (b) is 3/2.
Thus, the slope is underlined, and the y-intercept is circled, as requested.