13. Which graph matches the linear equation: 6x+y=−4
(1 point)
Responses
a
b
c
d
Without any specific graph options provided, it is impossible to determine which graph matches the given linear equation.
To determine which graph matches the linear equation 6x+y = -4, we need to rearrange the equation to the slope-intercept form y = mx + b, where m represents the slope and b represents the y-intercept.
Given equation: 6x + y = -4
Let's isolate y by subtracting 6x from both sides:
y = -6x - 4
Now we can identify the slope and y-intercept:
Slope (m): -6
Y-intercept (b): -4
Based on the given options a, b, c, and d, we would need to examine each graph to determine which one matches the slope-intercept form y = -6x - 4.
To determine which graph matches the linear equation 6x + y = -4, we need to rearrange the equation into slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
Let's solve the equation 6x + y = -4 for y:
y = -6x - 4
Now that we have the equation in slope-intercept form, we can identify the slope and y-intercept. The coefficient of x (-6) is the slope, and the constant term (-4) is the y-intercept.
Looking at the options a, b, c, and d, we need to identify the graph that has a slope of -6 and a y-intercept of -4.
Since I don't have access to the graphs, I can't provide a direct answer. However, you can identify the correct graph by plotting the y-intercept (-4) on the y-axis and using the slope (-6) to find at least one more point on the line. Once you have enough points, you can compare them with the options provided and select the graph that matches the equation y = -6x - 4.
Remember, to plot points on a graph, choose values for x and substitute them into the equation to find the corresponding y-values.