Will mark brainliest please help me Explain step by step how to find the equation of a line that goes through the points ( 7, 2 ), and ( 0, 4 ). Essay

y=-2/7x

Step-by-step explanation:

So first we need to find the slope. We will use the formula y2-y1/x2-x1 to solve this. (7, 2) is 7 being x1 and 2 being y1. (0, 4) is 0 being x2 and 4 being y2. Now we can set it up. 4-2/0-7. we get the answer of -2/7, so -2/7 is our slope. Now to find the y-intercept. Since the equation is y=mx+b, -2/7 is m. so if we plug that into the equation, we have y=-2/7x+b. Now we take the x value and y value from a point, so I'll take the x value from (7,2) with 7 being the x value, and 2 being the y value.we plug that into the equation making it 2=-2/7(7)+b. Now we solve for b.

-2/7*7=-2

2=-2+b

Now add 2 from the side where the B is

2-2=0

0=b

So in the end, the equation of this line is y=-2/7x. You don't need to add the b, since it's value is 0.

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