Find the value of x.
2 answers:
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Answer:
Option (D)
Step-by-step explanation:
Equation to represent the household expenditure per week will be in the form of,
y = mx + b
Where m = slope of the line
b = y-intercept
From the graph attached,
Since, line of best fit touches the positive side of the y-axis, y-intercept will be positive.
Since, y-values on the graph are decreasing with the increase in the x-values,
Slope of the graph will be negative.
[Slope = , Since rise of the line is negative and run is positive, slope will be negative]
By these properties equation of the linear graph will be,
y = -0.34x + 5.19
Option (D) will be the correct option.
Answer:
Step-by-step explanation:
From the given information, we already know two points the line intersects. It states that the line has a y-intercept of 3. The y-intercept is the point at which the line intersects the y-axis. Thus, the line also intersects (0,3). (Remember that all points on the y-axis have an x-value of 0.) Now we have enough information to write an equation.
1) Find the slope of the line with the slope formula, . Substitute the x and y values of (-5,2) and (0,3) into the formula and solve:
So, the slope of the line is .
2) Now we can write the equation in slope-intercept form, represented by the formula . Substitute values for
and
in the formula.
The represents the slope, so substitute
for it. The
represents the y-intercept, so substitute
for it. This gives the following answer and equation in slope-intercept form: