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).
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