$4(y - 3) = 13 \\ \\ \therefore \: 4y - 4 \times 3 = 13 \\ \\ \therefore \: 4y - 12 = 13\\ \\ \therefore \: 4y = 13 + 12 \\ \\ \therefore \: 4y = 25 \\ \\ \therefore \:y = \frac{25}{4} \\ \\ \therefore \:y = 6\frac{1}{4}$

7 0

2 years ago

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What is the y-intercept of a line perpendicular to y= 1/2x + 6 that passes through the point (4,-3)

Finger [1]

Answer:

(0,5)

Step-by-step explanation:

Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=1/2x + 6 is 1/2. The slope perpendicular to it is -2.

Using m=-2, substitute it and (4,-3) into the point slope form and simplify to find the y-intercept.

$y-y_1 = m(x-x_1)\\y--3=-2(x-4)\\y+3=-2(x-4)\\y+3=-2x+8\\y=-2x+5$

The equation is now in slope intercept form y=mx+b and b is the y-intercept. The y-intercept of y=-2x+5 is (0,5).

4 0

2 years ago