Answer:
The equation in slope-intercept form is [tex]y=\frac{1}{14}x[/tex].
Step-by-step explanation:
Given points are;
(-14, -1 ) and (0,0)
Slope of a line is given by;
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{0-(-1)}{0-(-14)}[/tex]
m = [tex]\frac{1}{14}[/tex]
General equation in slope intercept form is,
y = mx + b
Putting (-14, -1) and m = 1/14 in Equation to find b
-1 = [tex]\frac{1}{14}(-14) +b \\[/tex]
-1 = -1 + b
b = -1 + 1
b = 0
As y-intercept is 0, the equation in slope-intercept form would be
[tex]y = \frac{1}{14}x[/tex]
Hence,
The equation in slope-intercept form is [tex]y=\frac{1}{14}x[/tex].
