Answer:
? = 13, slope-intercept form is
Step-by-step explanation:
In order to find the missing constant that satisfies the parameters of the question, we plug the ordered pair into the equation representing the perpendicular line and solve for the missing number.
The given ordered pair in (x, y) form is (4, 7)
Within the equation, this ordered pair is 7 = -3/2(4) + ?
Let's solve:
7 = -3/2(4) + ?
7 = -12/2 + ?
7 = -6 + ?
7 + 6 = -6 + 6 +?
13 = 0 + ?
13 = ?
The missing number is 13, therefore the slope-intercept form of a line perpendicular to y = 2/3x - 1 that intersects at point (4, 7) is y = -3/2x + 13