SOLUTION: Use the slope-intercept form of the linear equation to write an equation of the line with given slope and y-intercept. Slope -9/8; y-intercept (0,69/8)

Question 115428: Use the slope-intercept form of the linear equation to write an equation of the line with given slope and y-intercept.
Slope -9/8; y-intercept (0,69/8)
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
The slope intercept form of a linear equation is given by the relationship:
.
y = mx + b
.
in which m ... the multiplier of x ... is the slope of the graph and b is a constant that
is the value on the y-axis where the graph crosses the y-axis.
.
You are told that the slope is -9/8. That means that m = -9/8. Substitute that value into
the slope intercept form and you have:
.
y = (-9/8)x + b
.
You are also told that the y-intercept is (0, 69/8). This means that the graph crosses the
y-axis at the value +69/8. [The fact that the corresponding value of x is zero just means
that +69/8 is the value on the y-axis. Any point in which x = 0 is on the y-axis.]
So now you can substitute +69/8 for b and the slope intercept form for this problem becomes:
.
y = (-9/8)x + 69/8
.
Hope this helps to clarify for you the meaning of the slope-intercept form of a linear equation.
.
RELATED QUESTIONS
Use the slope-intercept form of the linear equation to write an equation of the line with (answered by bucky)

Use the slope-intercept form of the linear equation to write the equation of the line... (answered by Boreal)

use the slope intercept form of the linear equation to write an equation of the line with (answered by tutorcecilia)

Use the slope-intercept form of the linear equation to write an equation of the line with (answered by doukungfoo)

Use the slope-intercept form of the linear equation to write the equation of the... (answered by Fombitz)

Use the slope intercept form of the linear equation to write the equation of each line... (answered by Alan3354)

Use the point-slope form to write an equation of the line with the given slope and point. (answered by Alan3354)

Write an equation of the line with the given slope and the given y-intercept. Leave the... (answered by checkley77)

Write an equation of the line with the given slope and the given y-intercept. Leave the... (answered by Fombitz)