Respuesta :

Answer:

Answer: The slope is 2. The y-intercept is 4 which means point (0, 4).

Step-by-step explanation:

First, find the slope of the line that passes through those two points using the slope formula.

[tex] slope = m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

where the points are [tex] (x_1, y_1) [/tex] and [tex] (x_2, y_2) [/tex]

[tex] slope = m = \dfrac{18 - 4}{7 - 0} = \dfrac{14}{7} = 2 [/tex]

The slope is 2.

One of the given points is (0, 4). Since the y-intercept lies on the y-axis, the x-coordinate of the y-intercept is 0. Point (0, 4) is the actual y-intercept.

Answer: The slope is 2. The y-intercept is 4, or point (0, 4).

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To find the slope, use the S=(y2 - y1)/(x2 - x1) formula

S=(18-4)/(7-0)

S=14/7

S=2

After finding the slope, us the intercept formula to find the intercept

m is the slope

y-y1=m(x-x1)

y-4=2(x-0)

y=2x+4