Question Details

Determine the equation of the linear graph that passes through the y-axis at (0, -6) and has a slope of 4.

Options

A

y = -4x + 6

B

y = -4x - 6

C

y = 4x - 6

D

y = 4x + 6

Show Answer

Correct Answer :

Option C

y = 4x - 6

y = 2x + 5

Solution :

The correct option is y = 4x - 6.

Step-by-Step Explanation:

The slope-intercept form of a linear equation is expressed as:

y=mx+c

where:

m represents the slope of the line.
c represents the y-intercept, which corresponds to the point (0,c) where the line intersects the y-axis.

From the given information:

• Slope (m) = 4
• y-intercept point = (0,-6), which gives c=-6

Substituting m=4 and c=-6 into the slope-intercept equation:

y=4x+(-6)

y=4x-6

Therefore, the equation of the linear graph is y = 4x - 6.

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