what equation has a slope of 2 and a y-intercept of -5
solutions
First let's draw it, starting with plotting the y-intercept
of b = 2
Now let's express the slope m = 2 as the fraction
The numerator is the change in y, or +2.
The denominator is the change in x, or +1
From the y-intercept, we draw a line 2 units long UPWARD,
since +2 is positive.
graph(400,375,-10,10,-10,10) )}}}
Now from the end of that UPWARD line, we draw a line
+1 units RIGHTWARD, since +1 is positive.
Now we draw a line through the y-intercept and the
end of the rightward line:
The equation of the line which has slope m and y-intercept b
is
y = mx + b
So:
The equation of the line which has slope 2 and y-intercept -5
is
y = (2)x + (-5)
or
y = 2x - 5.
Edwin