Since line u is parallel to line t and passes through (8,5), an equation of line u in slope-intercept form is y = -1/8(x) + 6.
In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
Where:
- x and y represent the data points.
- m represent the slope.
Note: Two parallel lines must have the same slope and the slope of a straight line is the coefficient of x.
Since line u is parallel to y= -1/8(x)–8, the slope must be equal to -1/8.
At point (8, 5) and a slope of -1/8, an equation for this line can be calculated by using the point-slope form as follows:
y - 5 = -1/8(x - 8)
y - 5 = -1/8(x) + 1
y = -1/8(x) + 1 + 5
y = -1/8(x) + 6
Complete Question:
The equation of line t is y= -1/8(x)–8. Line u is parallel to line t and passes through (8,5). What is the equation of line u?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.