Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept (0, b)
We have the slope m = -2.
Substitute to the equation:
[tex]y=-2x+b[/tex]
Substitute the coordinates of the given point (2, -5) → x = 2, y = -5
[tex]-5=(-2)(2)+b[/tex]
[tex]-5=-4+b[/tex] add 4 to both sides
[tex]-5+4=-4+4+b\\\\-1=b\to b=-1[/tex]
The equation of a line:
[tex]y=-2x-1[/tex]
Two points are enough to draw a straight line.
We have (2, -5) and the y-intercept b = -1 ⇒ (0, -1).
Mark them on a coordinate system.
[tex]\bold{METHOD\ 2:}[/tex]
Mark the given point on the coordinate system.
We know:
[tex]slope=\dfrac{rise}{run}[/tex]
[tex]slope=-2\to\dfrac{rise}{run}=-2\\\\-2=\dfrac{2}{-1}[/tex]
Thereofre
rise = 2 (2 units up)
run = -1 (1 unit to the left)
