Write y−2=3/2(x+2) in slope-intercept form.(1 point)
y=3/2x+3/2
y=3/2x+5
y=3/2x+6
y=3/2+5x
To write the equation y - 2 = 3/2(x + 2) in slope-intercept form, we would need to solve for y.
First, distribute the 3/2 to both terms inside the parentheses:
y - 2 = 3/2x + 3
Next, isolate the y-term by adding 2 to both sides of the equation:
y = 3/2x + 3 + 2
Simplifying, we get:
y = 3/2x + 5
Therefore, the equation y - 2 = 3/2(x + 2) in slope-intercept form is y = 3/2x + 5.
Identify the slope and the y-intercept of the equation 4x−3y=12.(1 point)
The slope is 43, and the y-intercept is (0, −4).
The slope is 4, and the y-intercept is (0, 12).
The slope is −43, and the y-intercept is (0, 4).
The slope is 43, and the y-intercept is (0, 4).
To identify the slope and the y-intercept of the equation 4x - 3y = 12, we need to rearrange the equation into slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
To do so, we isolate the y-term by subtracting 4x from both sides of the equation:
-3y = -4x + 12
Next, divide both sides of the equation by -3 to solve for y:
y = (4/3)x - 4
From this equation, we can determine that the slope is 4/3 and the y-intercept is (0, -4).
Therefore, the correct answer is: The slope is 4/3, and the y-intercept is (0, -4).
To write the equation y - 2 = (3/2)(x + 2) in slope-intercept form, you need to isolate y on one side of the equation.
First, distribute the (3/2) to both terms inside the parentheses:
y - 2 = (3/2)x + (3/2)(2)
Simplify the right side:
y - 2 = (3/2)x + 3
Next, add 2 to both sides to isolate y:
y = (3/2)x + 3 + 2
y = (3/2)x + 5
So the equation y - 2 = (3/2)(x + 2) can be written in slope-intercept form as y = (3/2)x + 5.