What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?
y = −3x − 2
y = −3x + 2
y = 3x + 2
y = 3x − 2

Question

What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?
y = −3x − 2
 y = −3x + 2
 y = 3x + 2
 y = 3x − 2

sloppycanada · Answer

Do you know the equation of a line is y=mx+b

Since we are given two sets of coordinates, we must find the slope.

$$\frac{ y_2-y_1 }{ x_2-x_1 }$$

sloppycanada · Answer

So using the equation that was given, 

y2 - y1 =?
x2 - x1 = ?

brooke1556 · Answer

|dw:1465499368466:dw|

sloppycanada · Answer

Correct, can we simplify 6/2?

brooke1556 · Answer

Yes, divide by two and it becomes 3?

sloppycanada · Answer

Bingo! We now know the slope

now according to the equation y = mx+b 

m= slope

So we're looking at the equation - 

y = 3x+b

From here, all we do is substitute the coordinate points of (4,10) for x and y respectively.

brooke1556 · Answer

What do I do with (4,10) ?