Question

Write linear equations given the slope and y-intercept.

slope = 6, y-int = (0,2)
a. y = 6x + 2
b. y = 2x + 6
c. y = 2x - 6
d. y = 6x - 2

slope = 4/5, y-int = (0, -6)
a. y = 4/5x - 6
b. y = -6x + 4/5
c. y = 4x/5 - 6
d. y = -6x/5 + 4/5

slope = -1, y-int = (0, 3)
a. y = -x + 3
b. y = 3x - 1
c. y = 3 - x
d. y = -1 - 3x

slope = -11/17, y-int = (0, -12)
a. y = -11/17x - 12
b. y = -12 - 11/17x
c. y = -11/17 - 12x
d. y = -12x - 11/17

Answer 1

The correct linear equations for the given slopes and y-intercepts are y = 6x + 2, y = 4/5x - 6, y = -x + 3, and y = -11/17x - 12, matching the coefficient of x with the slope and the constant term with the y-intercept.

Step-by-step explanation:

When writing linear equations given the slope and y-intercept, it's important to use the slope-intercept form of a linear equation, which is y = mx + b, where m represents the slope and b represents the y-intercept. Therefore, the linear equations for each set of given slopes and y-intercepts are:

• For slope = 6 and y-intercept = (0,2), the equation is y = 6x + 2.
• For slope = 4/5 and y-intercept = (0, -6), the equation is y = 4/5x - 6.
• For slope = -1 and y-intercept = (0, 3), the equation is y = -x + 3.
• For slope = -11/17 and y-intercept = (0, -12), the equation is y = -11/17x - 12.

Remember, the key to choosing the correct equation is to match the coefficient of x (the number multiplied with x) with the given slope, and the constant term, which is by itself, with the given y-intercept.