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What is the slope-intercept form of the equation of the line that contains the points(-3, -3)and(4, 5)?

2 Answers

2 votes

Answer:

y = 8/7x+3/7

Explanation:

User Twillouer
by
5.8k points
6 votes

Answer:

y = 8/7x+3/7

Explanation:

We can find the slope using the slope formula

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

= ( 5 - -3)/( 4 - -3)

= ( 5+3)/ ( 4+3)

=8/7

The slope intercept form of the equation is y = mx+b

y = 8/7x+b

Substitute a point into the equation

5 = 8/7 *4 +b

5 = 32/7 +b

35/7 = 32/7 +b

Subtract 32/7 from each side

35/7 - 32/7 =b

3/7 =b

y = 8/7x+3/7

User Damon Horrell
by
5.4k points