Question

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Answer 1

Answer:

$y-4=\frac{1}{5}(x-7)$

Step-by-step explanation:

The point-slope form of a line is given by:

$y-y_1=m(x-x_1)$

Where

(x_1,y_1) is the coordinate pair (any of the points given)

m is the slope. The ratio of change in y coordinates by x coordinates

Let's calculate the slope:

$m=\frac{4-3}{7-2}\\m=\frac{1}{5}$

Now, it is given "y - 4", so y_1 is 4, so they are using the coordinate pair (7,4). So we can say x_1 = 7

Now we have all the values, lets write the equation:

$y-y_1=m(x-x_1)\\y-4=\frac{1}{5}(x-7)$

This is the point-slope form.