Answer:
The y-intercept is (0, 4/3) and the equation of is y = -1/6x + 4/3. if the y-coordinate of point c is 13, its x-coordinate is -70
Equation of a line
The equation of a line in slope-intercept form is y = mx + b
where;
m is the slope
b is the y-intercept
Given the coordinate points (14, -1) and (2, 1)
Slope = 1-(-1)/2-14
Slope = 2/-12
Slope = -1/6
Determine the y-intercept
1 = -1/6(2) + b
1 = -1/3 + b
b = 1 + 1/3
b = 4/3
The given equation of the line is y = -1/6x + 4/3
For the y-intercept
y = -1/6(0) + 4/3
y = 4/3
Hence the y-intercept is (0, 4/3)
For the x-intercept
0 = -1/6(x) + 4/3
1/6x = 4/3
24x = 3
x = 1/8
Hence the x-intercept is (1/8, 0)
If the y-coordinate of point C is 13, hence;
y = -1/6x + 4/3
13 = -1/6x + 4/3
-1/6x = 13 - 4/3
-1/6x = 35/3
-1/2 x = 35
x = -70
The y-intercept is (0, 4/3) and the equation of is y = -1/6x + 4/3. if the y-coordinate of point c is 13, its x-coordinate is -70