Question 246590
Write an equation in slope-intercept form of the line that passes through the given point & is parallel to the graph of each equation
(2,-7), y = x-2
:
Parallel lines have the same slope, the slope (m) of y = x - 2 is 1
therefore
the equation for the line that passes thru (2,-7) has a slope of 1 also
:
Use the point/slope formula: y - y1 = m(x - x1)
y - (-7) = 1(x - 2)
y + 7 = x - 2
y = x - 2 - 7
y = x - 9
:
Graph these two equations and you can see that is true
{{{ graph( 300, 200, -10, 10, -20, 10, x-2, x-9) }}}