According to the question, the equation for line w becomes y = -1/5x-1 since it passes over point (-10,1) and is parallel with line v.
The explanation of an equation in algebra is a scientific statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Line v: y = -1/5x+9
Compare with slope-intercept form of a line y = mx+ c we get,
Slope of line v = -1/5
∵ line w is parallel to line v so,
Slope of line w = slope of line v
= -1/5
So, equation of line w is
y = -1/5x+c
∵ line w includes the point (-10,1) so put x = -10, y = 1
1 = -1/5(-10) + c
1 = 2 + c
c = 1-2
c = -1
So, equation of line w is
y = -1/5x-1
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The complete question is-
Line v has an equation of y=-(1)/(5)x+9. Line w includes the point (-10, 1) and is parallel to line v. What is the equation of line w