Question

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Enter the equation in slope-intercept form. Then graph the line described by the equation.
4x + 5y = 10
Slope-intercept form is (select)
Shy
8
-1
-2
--6
-7
8
7
59
2
1
0
6
3
-9
-9 8 7 6 5 4 3 2 -1 0 1 2 3 4 5 6 7
I
4x + 5y = 10
89
?

Answer 1

To write the equation in slope-intercept form, isolate y on one side by subtracting 4x from both sides, then divide both sides by 5. The slope of the line is -4/5 and the y-intercept is 2. Graphing the line will result in a line with a slope of -4/5 passing through the point (0, 2).

Step-by-step explanation:

To write the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept, we need to isolate y on one side. We can do this by subtracting 4x from both sides of the equation:

5y = -4x + 10

Next, we divide both sides of the equation by 5 to solve for y:

y = (-4/5)x + 2

The slope of the line is -4/5 and the y-intercept is 2. To graph the line, we can plot the y-intercept at (0, 2) and then use the slope to find additional points. For example, if we move 4 units to the right and 5 units down from the y-intercept, we get another point on the line.

Graphing the line described by the equation, 4x + 5y = 10, will result in a line with a slope of -4/5 passing through the point (0, 2).

Learn more about Equation in slope-intercept form