how do you turn this, (3,4) and parallel to y=2x+1 , into a linear equation ?
+23252 You know a point (3,4) and can figure out a slope.
The slope intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Thus the line y = 2x + 1 has a slope of 2.
Since all parallel lines have the same slope, the line that passes through (3,4) also has a slope of 2.
Knowing a point and the slope, use the point slope form: y - y1 = m(x - x1)
where m is the slope and (x1, y1) is the point.
For this problem, m = 2, x1 = 3, and y1 = 4.
y - 4 = 2(x - 3)
y - 4 = 2x - 6
y = 2x - 2
(There are other ways to solve this problem.)
+23252 You know a point (3,4) and can figure out a slope.
The slope intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Thus the line y = 2x + 1 has a slope of 2.
Since all parallel lines have the same slope, the line that passes through (3,4) also has a slope of 2.
Knowing a point and the slope, use the point slope form: y - y1 = m(x - x1)
where m is the slope and (x1, y1) is the point.
For this problem, m = 2, x1 = 3, and y1 = 4.
y - 4 = 2(x - 3)
y - 4 = 2x - 6
y = 2x - 2
(There are other ways to solve this problem.)
