write the equation of a line parallel to the line y=5x-4 through the point (6,7).
The slope m is 5, the coefficient of x.
The equation for the parallel line can be written
(y - 7)/(x-6) = 5
They may want you to reorganize that into the y = mx + b standard form. To do that, rearrange to get
y - 7 = 5x - 30
y = 5x -23.
A line passes through the points 0,7 and 2,1 what is the y intercept of the line and slope of the line and write an equation for the line in slope intercept form
Write an equation for the line that has slope 1 and contains the points 3, -2
To find the equation of a line parallel to another line, we need to remember that parallel lines have the same slope.
In the given equation, y = 5x - 4, the slope is 5. Therefore, the line parallel to this one will also have a slope of 5.
To find the equation of the line, we can use the point-slope form: y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope.
Using the point (6, 7) and the slope 5, the equation becomes:
y - 7 = 5(x - 6)
We can simplify this equation to get the final answer:
y - 7 = 5x - 30
So, the equation of the line parallel to y = 5x - 4 through the point (6, 7) is y = 5x - 23.