Question 1205898
start with x - y = -5
subtract x from both sides of the equation to get -y = -x - 5
multiply both sides of the equation by -1 to get y = x + 5
the general form of the slope intercept form of the equation for a straight line is y = mx + b.
m is the slope.
b is the y-intercept.
in this problem, m = 1 is the slope and b = 5 is the y-intercept.
the slope intercept form of this equation is y = x + 5.
the graph of the equation is shown below.
both forms of the equation are shown.
they draw the same line since they are equivalent.


two points on the line are used to find the slope.
the points are (0,5) and (5,10).
slope is (y2 - y1) / (x2 - x1)
assign (5,10) to (x2,y2) and assign (0,5) to (x1,y1).
slope = (y2-y1)/(x2-x1) = (10-5)/(5-0) = 5/5 = 1.


the y-intercept is the value of y when x is 0.
to find, set x to 0 and solve for y.
y = x + 5 becomes y = 5.
the y-intercept is 5 at the coordinate point of (0,5).


here's the graph.
<img src = "http://theo.x10hosting.com/2024/013131.jpg">