Question

Use the point-slope formula to find the slope-intercept form of each problem.

(4, -3), m = -1
A) y = -1x - 7
B) y = -1x + 7
C) y = -1x - 3
D) y = -1x + 3

Answer 1

Using the point-slope formula with point (4, -3) and slope m = -1, and after simplifying, the slope-intercept form of the equation is y = -1x + 1, which is not listed in the provided answer choices.

Step-by-step explanation:

To find the slope-intercept form of the equation of the line given a point (4, -3) and slope m = -1, we can use the point-slope formula. The point-slope formula is y - y1 = m(x - x1), where (x1, y1) is the point the line passes through and m is the slope of the line.

Plugging in the given values, we get:

y - (-3) = -1(x - 4)

Now we simplify and solve for y to get it into slope-intercept form (y = mx + b):

y + 3 = -1x + 4

Subtracting 3 from both sides gives us the final equation:

y = -1x + 1

Looking at the answer choices given, none of them match y = -1x + 1. It appears there may have been an error in the choices provided.