All categories

3 years ago

What is the slope- intercept equation of the line below?

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

6 0

Answer:

y= 5/4x - 2

Step-by-step explanation:

Hey!

Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.

First we can locate the y-intercept, or where the line passes through the y-axis.

The y-intercept is -2.

Substitute in the Slope-Intercept Form Equation:

y = mx -2

Pick another point and substitute its x and y values in this equation.

I chose (5,2) and substituted as 2 = m(5) -2

Isolate m:

Add 2 to both sides [Addition Property of Equality]

2 + 2 = 5m - 2 + 2

4 = 5m

Divide by 5 on both sides. [Division Property of Equality]

5m/5 = 4/5

m=4/5

Substitute in Slope-Intercept Form Equation.

The Equation in Slope Intercept Form is y = 4/5x - 2

==================================================================

Hope I helped, Feel Free to ask any questions to clarify :)

Have a fantastic day!

-Aadi x

You might be interested in

Pls help me its my final exam

professor190 [17]

Answer:

could you pls put that in English mabye then I could help u :)

6 0

3 years ago

Thomas has a garden with a length of 2.45 meters and a width of 5/8 meters. Use benchmarks to estimate the area and perimeter of

Damm [24]

Guessing it is a rectangle the perimeter is 2*0.625+2.45*2= 6.15

and the area is 0.625*2.45= 1.53125..... i think

8 0

4 years ago

I need help please, & I don’t know the answer. Thx

Elenna [48]

The train Chug-a-Lug must be going 153.5 miles to match the same speed as Old Steamy so they can arrive at the station at the same time.

7 0

4 years ago

Please help em fast I really need help

kozerog [31]

Answer:

f[g(2)] = 50

Step-by-step explanation:

Given functions:

$f(x)=2(x+1)^2$

$g(x)=3x-2$

We are asked to determine f[g(2)], which is known as a composite function. When solving composite functions, you always work inside out.

Step 1: Find the value of g(2) by substituting 2 for x in function g(x).

$\implies g(2)=3(2)-2$

$\\\implies g(2)=6-2\Rightarrow g(2)=\boxed{4}$

Step 2: Substitute the found value into the composite function.

$\\\implies f[g(2)]= 2(4+1)^2$

$\implies f[g(2)] = 2(5)^2 \Rightarrow 2(25) \Rightarrow \boxed{50}$

Hence, the value of the composite function f[g(2)] is 50.

Learn more about composite functions here:

brainly.com/question/28062427

brainly.com/question/26215408

6 0

2 years ago

Read 2 more answers

If h(x) = x3 + x and g(x) = 2x + 3, then g(h(2)) = ? A. 7 B. 10 C. 17 D. 19 E.23

hodyreva [135]

Answer:

19 is the answer

Step-by-step explanation:

8 0

3 years ago