Respuesta :
Find the slope, (y1-y0)/(x1-x0)=M
(5-1)/(-4-0)=-1
Y=Mx+b
b is the y-intercept (y value when x=0)
Y=-x+1
(5-1)/(-4-0)=-1
Y=Mx+b
b is the y-intercept (y value when x=0)
Y=-x+1
Find the slope of the line passing through (0, 1) and (-4, 5) using the slope formula: [tex] \frac{x2-x1}{y2-y1} [/tex].
[tex] \frac{5 - 1}{-4 -0} [/tex] = [tex] \frac{4}{-4} [/tex] = -1
Now use the formula: y - y1 = m(x - x1) to get a line in slope-intercept form.
Plug in the numbers. m = slope and x1 & y1 are points.
We'll use (0, 1).
y - 1 = -1(x - 0)
y - 1 = -x
y = -x + 1 is the equation.
[tex] \frac{5 - 1}{-4 -0} [/tex] = [tex] \frac{4}{-4} [/tex] = -1
Now use the formula: y - y1 = m(x - x1) to get a line in slope-intercept form.
Plug in the numbers. m = slope and x1 & y1 are points.
We'll use (0, 1).
y - 1 = -1(x - 0)
y - 1 = -x
y = -x + 1 is the equation.