SOLUTION: A line passes through (–7, 1) and (4, 4). Identify the point-slope and slope-intercept form of an equation of the line.
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Question 346132: A line passes through (–7, 1) and (4, 4). Identify the point-slope and slope-intercept form of an equation of the line.
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
We need to find the slope first.
Let m = slope
m = (4 -1)/(4 -(-7))
m = 3/(4 + 7)
m = 3/7
The slope is 3/4.
We now plug one of the points given and the slope into the point-slope formula and solve for y. We need to write your equation in the form y = mx + b (the slope-intercept form). We also call this equation the y-intercept form.
I will use the point (4,4) but you can use the other point if you'd like.
y - y1 = m(x - x1)....This is the point-slope formula. Memorize it for you will see it a lot in math courses including calculus.
y - 4 = (3/4)(x - 4)
y - 4 = (3/4)(x) - 3
y = (3/4)(x) - 3 + 4
y = (3/4)(x) + 1
The slope is 3/4 and the y-intercept is 1.
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