52.1k views
3 votes
Please explain with the answer

Please explain with the answer-example-1
User Aleclarson
by
8.2k points

1 Answer

2 votes

Answer:

First box (Top left): y + x = 4

Second box (Top right): y = x + 4

Third box (Bottom): y = (1/4)x

Step-by-step explanation: For the first box on the top left, the line is shown going down which means as x increases, y decreases resulting in a negative slope. Since the equation of a line has the form y = mx + b where m represents the slope, m would be a negative number for a negative slope. By rearranging the equations above, we can write y + x = 4 as y = -x + 4 after subtracting both sides by -x to make it look like the form y = mx + b. Since this is the only equation with a negative slope and the y-intercept (where the line intercepts the y-axis) represented as b is 4 as shown in the graph and the equation, the equation for this line is y + x = 4.

For the second box on the top right, the line is shown going up which means as x increases, y increases resulting in a positive slope. Since the slope is now positive, the m, in the same form, y = mx + b, would be a positive number. The y-intercept or b is also still 4 as shown in the graph as the line intersects the y-axis so by looking at the options above, the equation for this line is y = x + 4.

For the third box on the bottom, the line is shown with a less steep slope going up meaning as x increases, y increases with a lower slope. Since the slope will still be positive but lower than the previous line with a y-intercept of 0 as shown in the graph, the equation for this line is y = (1/4)x.

User Vithani Chandresh
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories