Question

Write an equation of the line that passes through each point with the given slope.

(1,-1), m= 5
A) y= 5x – 4
B) y = 5x – 6
C) y=-5x - 6
D) y = 5x + 6

Answer 1

The correct equation of the line that passes through the point (1,-1) with a slope of 5 is y = 5x - 6, which corresponds to option B.

Step-by-step explanation:

The question asks to write the equation of a line that passes through a given point with a specific slope. To find the equation of this line, we use the point-slope form of the equation, which is y - y1 = m(x - x1), where (x1, y1) is the point the line passes through and m is the slope of the line. Since the line passes through the point (1,-1) and has a slope of 5, we can substitute these values into the point-slope form to get:

y + 1 = 5(x - 1)

Distributing the slope on the right side gives us:

y + 1 = 5x - 5

After simplifying by subtracting 1 on both sides, we get the slope-intercept form which is:

y = 5x - 6

Thus, option B is the correct equation y = 5x - 6.