Question

Choose the equation below that represents the line that passes through the point (7,2) and has a slope of -3

Answer 1

The equation of the line that passes through the point (7,2) with a slope of -3  is  y = -3x + 23

Solution:

We need to find the equation for a line that passes through the point (7,2) and has a slope of -3.

Let us use slope-intercept form to find equation of line

The equation of line in slope intercept form is given as:

y = mx + b  --- eqn 1

where "m" is the slope of line and "b" is the y-intercept

Here in this sum, given that slope "m" = -3

Given point is (x, y) = (7, 2)

Plug the given values in eqn 1 to find "b" :

2 = -3(7) + b

2 = -21 + b

b = 23

Now plug "b" and "m" values in eqn 1 to get the equation of line

y = -3x + 23

This is the required equation of line found using slope intercept form

Answer 2

Answer: y = - 3 + 2x

Step-by-step explanation: