Find an equation for the line parallel to y=2x-7 with y-intercept(0,6). Write the answer in slope-intercept form. The equation of the line in slope-intercrpt form form is
you have a point and a slope (2), so use the point-slope form:
y-6 = 2(x-0)
Now just rearrange the terms as needed.
To find an equation for a line parallel to a given line, we need to use the fact that parallel lines have the same slope.
In the given equation, y = 2x - 7, the slope is 2. So, the slope of the parallel line will also be 2.
We are also given the y-intercept of the parallel line, which is (0, 6). The y-intercept is the point where the line intersects the y-axis, so the y-coordinate is the value of y when x = 0.
To write the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we can substitute the values into the equation.
Therefore, the equation of the line parallel to y = 2x - 7 with a y-intercept of (0, 6) is:
y = 2x + 6