Draw the graph of the equation. $7 x + 5 y = 5$

Question

Quizplus · Accepted Answer

To graph the equation, we need to rewrite it in slope-intercept form (y = mx + b) by solving for y:

7x + 5y = 5 
5y = -7x + 5 
y = (-7/5)x + 1

Now we can see that the slope is -7/5 (negative because the line slopes down to the right), and the y-intercept is 1 (the point where the line intersects the y-axis).

To graph this line, we can start at the y-intercept (0, 1) and then use the slope to find other points. From the y-intercept, we can move down 7 units (since the slope is -7/5) and then right 5 units to get to the point (5, -4). We can also move up 7 units and left 5 units to get to the point (-5, 6). Plotting these points and drawing a line through them gives us the graph shown in choice B.

Draw the Graph of the Equation 7x+5y=57 x + 5 y = 57x+5y=5

Draw the Graph of the Equation $7 x + 5 y = 5$