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Question 40553This question is from textbook INTERMEDIATE ALGEBRA
: Use the slop-intercept form to write an equation of the line with the given properties.
This question is from textbook INTERMEDIATE ALGEBRA
Answer by tutorcecilia(2152)   (Show Source):
You can put this solution on YOUR website! m = -7, passing through (7,5)
The "slope-intercept form" means that the main information we need in this equation is the values for the slope and the value for the y-intercept. The y-intercept is the point at which the line crosses or hits the y-axis. The y-intercept is indicated by the points (0, b) in which the x value is always zero and the y value is a real number value.
The slope-intercept form is:
y = mx + b
The value for each variable is:
y = the y value of a point
m = the slope (y - y)/(x - x)
x= is the x value of the same point
b = the y-intercept (0, b)
To find the slope-intercept form for: m = -7, passing through (7,5)
First substitute the values into the y = mx + b equation:
5 = -7(7) + b
Solve for "b"
5 = -49 + b
5 + 49 = -49 + 49 + b
54 = b
Going back to the explaination of y = mx + b, determine which terms represent "m" for the slope and which terms equal "b" for the y-intercept. The answer is the slope "m" is represented by -7. The y-intercept is represented by 54.
Plug the value for the slope "m" and for the y-intercept "b" back into the slope-intercept formula:
y = -7x + 54
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