determine the y - intercept of the graph of this equation: y - 3 = 4(x + 5)\na. 3\nb. - 23\nc. 23\nd. - 20

Explanation:

Step1: Expand the right - hand side

Use the distributive property (a(b + c)=ab+ac). So, (y - 3=4(x + 5)) becomes (y-3 = 4x+20).

Step2: Isolate y

Add 3 to both sides of the equation. (y=4x + 20+3), which simplifies to (y=4x+23).

Step3: Identify the y - intercept

The slope - intercept form of a line is (y = mx + b), where (b) is the y - intercept. In the equation (y=4x + 23), the y - intercept is 23.

Answer:

C. 23