Graphing equations quick check

Using the graphderive the equation of the line in sope-intercept form point ) y = - 3x - 4; x = 3x - 4; 3z - 3 = 4

1 answer

To find the equation of the line in slope-intercept form, we need to determine the slope and y-intercept from the graph.

1. y = -3x - 4
This equation is already in slope-intercept form where the slope is -3 and the y-intercept is -4.

2. x = 3x - 4
This equation can be rewritten in slope-intercept form by isolating y:
y = -4, which represents a horizontal line at y = -4.

3. 3x - 3 = 4
This equation can be rewritten in slope-intercept form by isolating y:
y = 3x + 7. This equation has a slope of 3 and a y-intercept of 7.

Therefore, the equations in slope-intercept form are:
1. y = -3x - 4
2. y = -4 (horizontal line)
3. y = 3x + 7