Graph the equation and identify the y-intercept. y + x= -5. Please help
let y = 0
can you solve for x in your head by just looking at the resulting equation?
x + y = -5
y-int: Let x = 0 and solve for y:
0 + y = -5
y = -5. P1(0 , -5).
x-int: Let y = 0 and solve for x:
x + o = -5
x = -5. P3(-5 , 0).
Graph: P1(0 , -5) , P2(-3 , -2) ,
P3(-5 , 0).
To graph the equation y + x = -5 and identify the y-intercept, we need to rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope, and b represents the y-intercept.
Let's rearrange the equation:
y + x = -5
Subtract x from both sides:
y = -x - 5
Now we have the equation in slope-intercept form. The coefficient of x (-1) represents the slope, and the constant term (-5) represents the y-intercept.
To find the y-intercept, note that when x = 0, the equation becomes:
y = -0 - 5
y = -5
Therefore, the y-intercept is -5.
To graph the equation, draw a coordinate plane and plot the y-intercept, which is the point (0, -5). Next, use the slope to find another point on the line. The slope -1 means that for every unit increase in x, the corresponding y-value decreases by 1.
For example, if we take x = 1, then y = -1 - 5 = -6. Therefore, another point on the line is (1, -6).
Connect the two points (0, -5) and (1, -6) with a straight line. This line represents the graph of the equation y + x = -5.