Write the equation of the line passing through the given point with the indicated slope. Give your results in slope-intercept form.
Point: (0,5)
Slope: m=-3/5
Show equation
I will be happy to critique your work on this.
y=5
To find the equation of the line passing through the given point (0,5) with a slope of -3/5, we can use the point-slope form of a linear equation.
The point-slope form is given by:
y - y1 = m(x - x1)
Where (x1, y1) represents the coordinates of the given point and m represents the slope of the line.
Substituting the values into the equation, we have:
y - 5 = (-3/5)(x - 0)
Simplifying further, we get:
y - 5 = (-3/5)x
Next, we can rewrite the equation in slope-intercept form, which is in the form of y = mx + b, where b represents the y-intercept.
To do that, we can rearrange the equation:
y - 5 = (-3/5)x
y = (-3/5)x + 5
Therefore, the equation of the line passing through the given point (0,5) with a slope of -3/5 is y = (-3/5)x + 5.