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