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Write the equation in slope-intercept form. Identify the slope and y-intercept. Then graph the line described by the equation.

-4x + 2y = 10

1 Answer

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Answer:

y = 2x + 5

Explanation:

Slope intercept form is y = mx + b. mx is slope. B is the y intercept. To convert standard from to slope intercept form, you must get y by itself on one side. In this case, you do that by adding 4x to the other side so you now have 2y = 4x+10. You then divide the other side by 2 so y is by itself. This leaves you with y = 2x + 5. In order to graph it, I'll tell u a trick my teacher taught me. First, you graph the y intercept. In this case, the y intercept is 5. Graph 5 on the y axis (0, 5). Now, create the line by using rise over run (slope). The slope in this case is 2 since mx is slope. If it is two, this means the slope is 2/1. The slope is also positive meaning the line will be pointing towards the top right. Make an imaginary triangle (the slope) from the y intercept. Move 2 points down and 1 to the left. Draw a dot where u ended up. Keep doing this until you have multiple dots. Then take a ruler and draw a line through them.

User Michael Ballent
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