what is the equation of the line that passes through the given point and has the given slope. what is the slope-intercept form
what is the equation of the line that passes through the given point and has the given slope. what is the slope-intercept form
keep a focus on the linear equation in slope intercept form
y=mx+b
put in what you know--solve for what you don't know.
so
if m=-3
and in your ordered pair (8,0) 8=x and y=0
then
0=-3(8)+b
0=-24+b
24=b
y=-3x+24
Another way: Let (x, y) be any point on the line containing (8, 0).
m = (y-0)/(x-8) = -3
Solve for y,
y = -3(x-8) = -3x + 24
The slope intercept form of an equation is written y = mx + b where m is the slope and b is the y-intercept (value of y when x = 0).
I am assuming that you understand that the equation is y = -3x + b, but don't know how to find b.
Two ways to solve this problem are algebraically and graphing. To solve the problem by graphing, plot the point (8,0), then move up 3 left 1 until you reach the x-axis (x=0).
To solve the problem algebraically, substitute the given x and y values for x and y in the equation for slope-intercept and solve for b.
y = -3x + b
0 = -3 * 8 + b
0 = -24 + b
b = 24
The solution is y = -3x + 24