Question

A line passes through the points (0, 2) and (2, 10). What is its equation in slope-intercept form?

Answer 1

Answer:

• y = 4x + 2

Step-by-step explanation:

The slope-intercept form:

• y = mx + b, where m is the slope, b is the y-intercept

Find the slope using given points:

• m = (10 - 2)/(2 - 0) = 8 / 2 = 4

The y-intercept is given with point (0, 2):

• b = 2

The line is:

• y = 4x + 2

Answer 2

• (0,2)
• (2,10)

$\\ \sf{:}\Rrightarrow m=\dfrac{10-2}{2-0}=\dfrac{8}{2}=4$

Put in slope intercept form

$\\ \sf{:}\Rrightarrow y=mx+b$

$\\ \sf{:}\Rrightarrow 2=4(0)+b$

$\\ \sf{:}\Rrightarrow 2=b$

Equation of the line

$\\ \sf{:}\Rrightarrow y=4x+2$