4 x 1/2 pake cara ok
Answer (4)
Line d. First solve the equation: 2x+5y=-10 (-2x) 5y=-2x-10 (/5) y=-2/5x-2
From this we can see that the line must cross through -2 on the y axis and because x is negative we know that the line must slant downward.
The correct line that represents the graph of the equation 2 x + 5 y = − 10 is D. line d
To determine which line corresponds to the given equation, we can follow these steps:
Rearrange the equation into the slope-intercept form y = m x + b ,[/tex] where [tex] m is the slope and b b is the y-intercept.
Starting with the equation 2 x + 5 y = − 10 , we solve for y :
5 y = − 2 x − 10
Divide both sides by 5 to isolate y :
y = − 5 2 x − 2
Now we have the equation in the slope-intercept form:
y = − 5 2 x − 2
Identify the y-intercept and the slope from the equation. The y-intercept b is -2, which means the line crosses the y-axis at y = − 2 . The slope m is − 5 2 .[/tex]
Use the slope and y-intercept to draw the line on the graph. The slope [tex] − 5 2 indicates that for every 5 units we move to the right (positive x-direction), the line falls 2 units (negative y-direction).
Compare the drawn line with the provided options (line a, line b, line c, line d). The line that has a y-intercept of -2 and a slope of − 5 2 is the correct representation of the equation.
By examining the options, we can see that line c is the one that correctly starts at y = − 2 and has the slope − 5 2 . Therefore, the correct answer is D line d"
To find the graph of the equation 2 x + 5 y = − 10 , we rewrite it to see that it has a slope of − 5 2 and a y-intercept at − 2 . Thus, the correct line should pass through (0, -2) and slope downward. Choose the line that matches this description from the available options.
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