What is the slope intercept equation of the line that includes (0,7) and (3,10)

Slope-intercept equations take the form: y=mx+b, where m is the slope and b is the intercept.

Start off by finding the slope of the line.  To do this, use the slope equation: .  In this question, x1=0, x2=3, y1=7, y2=10.  Now, plug into the equation and solve:

The slope of the line is 1.

Now, the equation looks like y=1x+b.  To solve for b, you can choose one of the given coordinate points and plug them into the equation.  We'll use (0,7), but it will work the same with (3,10).  Plug in 0 for x and 7 for y and then solve for b:

7=1(0)+b

7=0+b

7=b

The intercept of the line is 7.

The slope-intercept equation of the line is y=1x+7.

Hope this helps!!

14

step-by-step explanation:

14 x 3 = 42

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