Question

what is the equation of the line with y intercept (0.8)and slope 3/5​

Answer 1

Step-by-step explanation:

y = mx + b

m is slope

b is y-intercept

y = 3/5 x + 4/5

5y = 3x + 4

3x - 5y + 4 = 0

All three equations written above are correct, they are just in different formats :)

Answer 2

$\mathbb{FINAL\;ANSWER:}$

$\huge\boxed{\sf{y=\displaystyle\frac{3}{5} x+0.8}}$

$\mathbb{SOLUTION:}$

Hi! Hope you are having a nice day!

$\mathcal{GIVEN:}$

• Slope of the line
• The line's y-intercept

$\mathcal{TO \ FIND:}$

• The equation of the line using the given information

$\mathcal{PROCESS:}$

• Should we write the equation of the line in Slope-Intercept Form or in Point-Slope Form?

$\mathcal{SLOPE-INTERCEPT\;FORM:}$

• y=mx+b
• where m = slope of the line
• where b = y-intercept of the line

Actually, we do have enough information to write the line's equation in Slope-Intercept form OR in Point-Slope Form.

However, let's write the equation in Slope-Intercept Form.

The y-intercept is 0.8, and the slope is $\sf{\displaystyle\frac{3}{5} }$.

Equation:

y=mx+b

Plug m:

$\sf{y=\displaystyle\frac{3}{5} x+b}$

Plug b:

$\sf{y=\displaystyle\frac{3}{5} x+0.8}$

Hope you could understand everything.

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