Question

Find the equation of the graphed line.

6
23
be
а. .
y = -x-4
C.
y=x+4
by=-x+4
d. y = x-4

Answer 1

y = -x + 4

Explanation:

Mathematically, the equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

from the plot, the y intercept is 4

So we have;

y = mx + 4

To get the value of m, we substitute the coordinates of any point and solve for m

we select the point; (4,0)

so;

0 = m(4) + 4

4m = 0-4

4m = -4

m = -1

so the equation of the line is;

y = -x + 4