Question

Write the slope-intercept form of the line that passes through the point (-5, -5) with a slope of 2.

A) y = 2x + 5
B) y = -2x - 5
C) y = 2x - 5
D) y = -2x + 5

Answer 1

The slope-intercept form of the line is y = 2x + 5.

Step-by-step explanation:

The slope-intercept form of a linear equation is given by y = mx + b where m represents the slope and b represents the y-intercept.

Given that the line passes through the point (-5, -5) and has a slope of 2, we can substitute these values into the equation.

Substituting the values, we get y = 2x + b.

Next, we can use the coordinates of the given point to find the value of b. Substituting (-5, -5) into the equation, we get -5 = 2(-5) + b. Solving for b, we have -5 = -10 + b, b = 5.

Therefore, the slope-intercept form of the line is y = 2x + 5. The correct answer is A) y = 2x + 5.