Four friends are on a basketball team. During a game, each friend kept track of how many shots they attempted and how many of th
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Answer:
The equation of line passing through points (1 , 0) is x - 5 y - 1 = 0
Step-by-step explanation:
Given equation of line as
x + 5 y = 30
Now, equation of line in standard form is y = m x + c
where m is the slope
So, x + 5 y = 30
Or, 5 y = - x + 30
Or, y = - x + 6
So, Slope of this line m = -
Again , let the slope of other line passing through point (1 , 0) is M
And Both lines are perpendicular , So , products of line = - 1
i.e m × M = - 1
Or, M = -
Or, M = - 1 × - =
So, equation of line with slope M and points (1, 0) is
y - = M × (x -
)
Or, y - ( 0 ) = × ( x - 1 )
Or, y = x -
× 1
Or, y = x -
or, y + =
x
Or, 5×y + 1 = x
∴ 5 y + 1 = x
I.e x - 5 y - 1 = 0
Hence The equation of line passing through points (1 , 0) is x - 5 y - 1 = 0 Answer
Complete Question:
Juanita makes leather lanyards to sell. She
charges a base fee and a cost per inch of
the finished lanyard. The line shows the
cost y for x inches of lanyard. Write an
equation for the line in slope-intercept
form.
*See attachement for the graph given
Answer:
y = ½x + 5
Step-by-step explanation:
Equation in slope-intercept takes the following form, y = mx + b
m = slope = change in y/change in x
b = y-intercept
Let's find m and b using the graph given
✔️Slope of the line using two points form the graph, say (0, 5) and (2, 6):
Slope (m) = ∆y/∆x = (6 - 5)/(2 - 0) = 1/2
Slope (m) = ½
✔️ y-intercept (b) is the y-coordinate of the point where the line intercepts the y-axis = 5. When y = 5, x = 0. Therefore,
b = 5
✔️To write the equation of the line, substitute m = ½ and b = 5 into y = mx + b:
y = ½x + 5
