Find the equation of the line with the given description.
parallel to y = 9x-4, passes through (5,3)
The given line is expressed in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Parallel lines have slopes.
We want to write the equation of a line with slope 9 that passes through the point (5, 3). We will choose to use the point-slope form for the equation of a line, y − b = m(x − a), where m is the slope and (a, b) is a known point on the line.
From the given equation, we have
y - = (x - )
Solve y - 3 = 9 (x-5) for y in terms of x to get the slope-intercept form of the line that passes through the point (5,3) and is parallel to y = 9·x-4.
y = x -