Write y − 2 = 3/2(x+2) in slope-intercept form.(1 point)
Responses
y = 3/2x + 3/2
y equals Start Fraction 3 over 2 End Fraction x plus Start Fraction 3 over 2 End Fraction
y = 3/2 + 5x
y equals Start Fraction 3 over 2 End Fraction plus 5 x
y = 3/2x + 6
y equals Start Fraction 3 over 2 End Fraction x plus 6
y = 3/2x +5
y equals Start Fraction 3 over 2 End Fraction x plus 5
To write the equation y − 2 = 3/2(x+2) in slope-intercept form, we need to solve for y. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.
Let's solve the equation:
y − 2 = 3/2(x + 2)
First, distribute the 3/2 through the parenthesis:
y − 2 = 3/2 * x + 3/2 * 2
Now, multiply the 3/2 by 2:
y − 2 = 3/2x + 3
Next, add 2 to both sides to isolate y:
y = 3/2x + 3 + 2
Combine like terms:
y = 3/2x + 5
So, in slope-intercept form, the equation is:
y = 3/2x + 5
And if we were to write it using the "Start Fraction ... End Fraction" format, it would be:
y equals Start Fraction 3 over 2 End Fraction x plus 5