Answer:
y = (1/-4)x - 1
Explanation:
given,
coordinates :
(4, -2) ----- ( 4= x1, -2=y1)
and
(-4, 0) ------(-4= x2, 0=y2)
=> y = mx + b ----(whereby m = slope, x remains same and b = y-intercept or a point on y-axis)
=> since slope = rise/run => (y2 - y1) / (x2 - x1)
=> ( 0 - (-2) ) / ( -4 - 4 )
=> ( 0 + 2 ) / ( -8 ) ------- (negative multiply by negative is postive. Therefore, - × -2 = +2)
=> 2 / -8
=> 1 / -4 -----(simplified after numerator and denominator got divided by 2)
If we refer the graph, we will see that y-intercept or the b is -1.
Therfore, since we have:
slope (m) = 1/-4
y-intercept (b) = -1
x = x----(x remains x only)
=> y = mx + b
substituting the values, we get,
=> y = (1/-4)x - 1