Question 1206469
the line has a slope of -3 passing through (4,-5)


slope intercept form of a straight line is y = mx + b.
m is the slope]b is the y-intercept.


if the slope is -3, the general form becomes y = -3 * x + b


to solve for b, you replace y with -5 and x with 4 to get -5 = -3 * 4 + b


simplify to get -5 = -12 + b
add 12 to both sides of the equation to get 7 = b


the equation becomes y = -3 * x + 7.


here's what it looks like on a graph.


<img src = "http://theo.x10hosting.com/2024/031303.jpg">


the y-intercept is 7.
that's the value of y when x is 0.
the line passes through the point (4,-5).
the slope is -3.