Question

Which of the following is the equation of the line that passes through the given point and has the given slope? m=−2 (4,2) Select one:

a) y=−2x+10
b) y=−2x−10
c) y=2x−10
d) y=2x+10

Answer 1

The equation of the line with slope -2 that passes through the point (4,2) is y = -2x + 10, which is option a).

Step-by-step explanation:

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept. Given the slope m = -2 and a point (4,2), we can substitute the point into the equation and solve for b. We get:

y = mx + b

2 = (-2)*4 + b

2 = -8 + b

b = 10

Thus, the equation of the line is y = -2x + 10, which corresponds to option a).