Write y−2=32(x+2) in slope-intercept form.(1 point)
Responses
y=32+5x
y equals Start Fraction 3 over 2 End Fraction plus 5 x
y=32x+32
y equals Start Fraction 3 over 2 End Fraction x plus Start Fraction 3 over 2 End Fraction
y=32x+5
y equals Start Fraction 3 over 2 End Fraction x plus 5
y=32x+6
None of the provided responses is equivalent to y-2=32(x+2) in slope-intercept form.
To put the equation in slope-intercept form (y=mx+b), we need to isolate y on one side of the equation.
Starting with y-2=32(x+2), we first distribute the 32 to both terms inside the parentheses:
y-2=32x+64
Next, we isolate y by adding 2 to both sides of the equation:
y=32x+66
Therefore, the correct answer is y=32x+66.
To write the equation y - 2 = 32(x + 2) in slope-intercept form, follow these steps:
1. Distribute the 32 to the terms inside the parentheses:
y - 2 = 32x + 64
2. Move the constant term (-2) to the other side of the equation:
y = 32x + 64 + 2
3. Simplify the equation:
y = 32x + 66
Therefore, the equation y - 2 = 32(x + 2) in slope-intercept form is y = 32x + 66.
To rewrite the equation y - 2 = 32(x + 2) in slope-intercept form, we need to isolate the variable y. Here's how you can do it:
1. Distribute the 32 to the terms inside the parentheses:
y - 2 = 32x + 64
2. Add 2 to both sides of the equation to move the constant term to the other side:
y - 2 + 2 = 32x + 64 + 2
y = 32x + 66
Now, the equation is in slope-intercept form (y = mx + b). The slope (m) is 32, and the y-intercept (b) is 66. Thus, the correct answer is y = 32x + 66.