to find the slope and y-intercept of 2x + 5y = 15, we need to rearrange the equation into slope-intercept form, which is y = mx + b. We get y = (-2/5)x + 3.
The slope is -2/5, which means that for every unit increase in x, y decreases by 2/5.
The y-intercept is 3, which is the point where the line intersects the y-axis.
Step-by-step explanation:
To find the slope and y-intercept of the equation 2x+5y=15, we need to rewrite it in slope-intercept form, which is y = mx + b. In this form, the coefficient of x, m, represents the slope of the line, and the constant term, b, represents the y-intercept.
To do this, we start by isolating y on one side of the equation.
2x + 5y = 15
Subtract 2x from both sides:
5y = -2x + 15
Next, divide both sides by 5 to solve for y:
y = (-2/5)x + 3
Now we can identify the slope and y-intercept:
The coefficient of x, -2/5, represents the slope of the line. This means that for every unit increase in x, y decreases by 2/5.
The constant term, 3, represents the y-intercept. This means that the line intersects the y-axis at the point (0,3).
Therefore, the slope of the equation 2x+5y=15 is -2/5 and the y-intercept is 3.
To find the slope and y-intercept of the equation 2x + 5y = 15, we need to rewrite it in slope-intercept form, which is of the form y = mx + b, where m is the slope and b is the y-intercept.
Starting with the given equation:
2x + 5y = 15
First, let's isolate the term with y by subtracting 2x from both sides:
5y = -2x + 15
Next, divide both sides of the equation by 5 to solve for y:
y = (-2/5)x + 3
Now we have the equation in slope-intercept form y = mx + b, where the coefficient of x (-2/5) represents the slope (m) and the constant term (3) represents the y-intercept (b).
Therefore, the slope of the equation is -2/5 and the y-intercept is 3.
Answers & Comments
Shortened explanation:
to find the slope and y-intercept of 2x + 5y = 15, we need to rearrange the equation into slope-intercept form, which is y = mx + b. We get y = (-2/5)x + 3.
The slope is -2/5, which means that for every unit increase in x, y decreases by 2/5.
The y-intercept is 3, which is the point where the line intersects the y-axis.
Step-by-step explanation:
To find the slope and y-intercept of the equation 2x+5y=15, we need to rewrite it in slope-intercept form, which is y = mx + b. In this form, the coefficient of x, m, represents the slope of the line, and the constant term, b, represents the y-intercept.
To do this, we start by isolating y on one side of the equation.
2x + 5y = 15
Subtract 2x from both sides:
5y = -2x + 15
Next, divide both sides by 5 to solve for y:
y = (-2/5)x + 3
Now we can identify the slope and y-intercept:
The coefficient of x, -2/5, represents the slope of the line. This means that for every unit increase in x, y decreases by 2/5.
The constant term, 3, represents the y-intercept. This means that the line intersects the y-axis at the point (0,3).
Therefore, the slope of the equation 2x+5y=15 is -2/5 and the y-intercept is 3.
Answer:
To find the slope and y-intercept of the equation 2x + 5y = 15, we need to rewrite it in slope-intercept form, which is of the form y = mx + b, where m is the slope and b is the y-intercept.
Starting with the given equation:
2x + 5y = 15
First, let's isolate the term with y by subtracting 2x from both sides:
5y = -2x + 15
Next, divide both sides of the equation by 5 to solve for y:
y = (-2/5)x + 3
Now we have the equation in slope-intercept form y = mx + b, where the coefficient of x (-2/5) represents the slope (m) and the constant term (3) represents the y-intercept (b).
Therefore, the slope of the equation is -2/5 and the y-intercept is 3.