To find the slope-intercept form equation of the line that passes through the two points is found by first, calculating the slope using the slope formula and substitution, and secondly, finding the y-intercept of the equation through substitution.

Remember, slope-intercept form is written as: y = mx + b, where m is the slope and b is the y-intercept.

1. Find the slope

The slope formula is: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ . To use this formula, you need two points and also, you need to assign these points to $x_{1}$ , $x_{2}$ , $y_{1}$ , and $y_{2}$ .

In this case, $x_{1}$ and $x_{1}$ is assigned to the ordered pair (1,3), while $x_{2}$ and $y_{2}$ is assigned to (3, 7). After assigning these points, you can substitute the pairs into the formula and simplify.

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

The slope of these two points is 2.

2. Find the y-intercept

To find the y-intercept, you substitute an ordered pair into the slope-intercept equation with the slope that was just calculated. We can use either ordered pair because it will result in the same y-intercept.

y = 2x + b (substitute)

3 = 2(1) + b (simplify)

3 = 2 + b (subtract 2 from both sides)

1 = b

The y-intercept of the two points is (0, 1).

With the necessary values to complete the equation, we can write the final equation.

The slope-intercept form equation of the line that passes through the points (1, 3) and (3, 7) is y = 2x + 1.

7 0

3 years ago

A ladybugs length measures 2cm express this measurement in meters explain your thinking include an equation with an exponent in

Ksivusya [100]

All we really need to do here is to convert 2 cm to meters. There are 100 cm in 1 meter, so the appropriate cm to meters conversion factor is

1 meter
-----------
100 cm

Thus,

2 cm 1 m
-------- * ----------- = (1/50) m = 0.02 m or 2.0*10^(-2) m (answer)
1 100 cm

7 0

2 years ago

After 3 minutes, a submarine had descended to −320 feet. After 8 minutes, the submarine had descended to −420 feet. Assuming a l

LiRa [457]

Answer:

$d(t) = -20t - 260$