Answer:
a. The slope is 7
b. The equation of the line is:
y = 7x + 7
Step-by-step explanation:
Parameters:
The points are (0, 7) and (-2, -7)
x1 = 0
y1 = 7
x2 = -2
y2 = -7
a.
The slope is obtained using the formula:
m = (y2 - y1)/(x2 - x1)
= (-7 - 7)/(-2 -0)
= -14/(-2)
= 7
b.
The equation of a line is:
y = mx + c
Where m is the slope and c is the y-intercept.
We can obtain the value of c by using either of the points (Let us use (0, 7)), we have
x = 0, y = 7 and m = 7
Substitute these into the equation of the line, we have:
7 = 7(0) + c
7 = 0 + c
c = 7
Substitute these into the equation, we have:
y = 7x + 7