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Write the equation of the line that goes through the point (3, 7) and has a slope of 2 in point-slope form.



Remember that point-slope form is `y\ -\ y_{1}\ =\ m\left(x\ -\ x_{1}\right)`



Once you have your equation, graph its line on the coordinate plane to the left.

Write The Equation Of The Line That Goes Through The Point 3 7 And Has A Slope Of 2 In Pointslope Form Remember That Pointslope Form Is Y Y1 Mleftx X1right Once class=

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Answer:

Step-by-step explanation:

All we need to do here is to employ the point-slope formula for the equation of a straight line:  y - k = m(x - h).  Here h = 3, k = 7 and m = 2.  After substituting these values into y - k = m(x - h), we get:

y - 7 = 2(x - 3)  (point-slope form)

This is perfectly adequate/correct, but it can be simplified into slope-intercept form y = mx + b:

y = 2x - 14 + 21, or

y = 2x + 7       Clearly, the y-intercept is 7 and the slope is 2.  This is the slope-intercept form.

To graph this line, let x = 0.  Then the y-intercept is (0, 2).  Plot this.  Next, find the x-intercept:  Let y = 0 and solve the resulting equation for x:

0 = 2x + 7, or 2x = -7, or x = -7/2.  Plot this (-7/2, 0).  Finally, draw a line through these two points (0, 2) and  (-7/2, 0).
Point-slope form
y-7=2(x-3)
Slope intercept
y-7=2(x-3)
y-7=2x-6
y=2x-6+7
y=2x+1

Where y-intercept is 1 ,slope is 2. Start from y 1 on the graph count 2 rise and 1 run.
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