Graph the line that passes through the given point and has the given slope. $( 1 , - 4 ) , m = - 2$

Question

Quizplus · Accepted Answer

Using the point-slope form for the equation of a line, we have:

$y - y_1 = m(x-x_1)$

Substituting the given values, we get:

$y - (-4) = -2(x - 1)$

Simplifying the equation, we have:

$y + 4 = -2x + 2$

$y = -2x - 2$

This is the equation of a line with slope -2 and y-intercept -2. To check, we can substitute the x-coordinate of the given point and see if it satisfies the equation:

$y = -2(1) - 2$

$y = -4$

Therefore, the point (1, -4) lies on the line. The graph of this line is shown in choice (C).

Graph the Line That Passes Through the Given Point and Has