Question

What are the slope and y-intercept of the graph of the given equation?

y = –4x + 2
A. The slope is 2 and the y-intercept is –4.
B. The slope is –2 and the y-intercept is –4.
C. The slope is –4 and the y-intercept is 2.
D. The slope is 4 and the y-intercept is –2.
Reset Selection

Answer 1

y = m x + b

m = slope
b = y-intercept

Therefore, the answer is C. The slope is –4 and the y-intercept is 2.

Answer 2

C. The slope is –4 and the y-intercept is 2.

Step-by-step explanation:

Given equation is,

`y=-4x+2`

Which is the equation of a line,

Since, the slope intercept form of a line is y = mx + c, where m is the slope of the line,

By comparing,

m = -4,

⇒ The slope of the given equation is -4,

Now, for the y-intercept, x = 0,

⇒ y = -4(0) + 2 = 2,

Hence, the y-intercept of the given equation is 2.

Option 'C' is correct.