Question

Write in slope-intercept form an equation of the line that passes through the given points. (2,4),(5,13)

Answer 1

y = 3x-2

Explanation:

We can find the slope using the equation for slope

m = (y2-y1)/(x2-x1)

= (13-4)/(5-2)

= 9/3

= 3

We know the slope and a point, so we can use point slope form to make an equation

y-y1 = m(x-x1)

y-4 = 3(x-2)

Distribute

y-4 = 3x-6

Add 4 to each side

y-4+4 = 3x-6+4

y = 3x-2

This is in slope intercept form (y= mx+b)

Answer 2

y = 3x-2

Explanation:

We can find the slope using the equation for slope

m = (y2-y1)/(x2-x1)

= (13-4)/(5-2)

= 9/3

= 3

We know the slope and a point, so we can use point slope form to make an equation

y-y1 = m(x-x1)

y-4 = 3(x-2)

Distribute

y-4 = 3x-6

Add 4 to each side

y-4+4 = 3x-6+4

y = 3x-2

This is in slope intercept form (y= mx+b)