Find an equation of the line with slope -3/4 and y-intercept (0,-5).write the answer in slope intercept form.
huh - no work required
y = -(3/4)x - 5
To find the equation of a line given the slope and the y-intercept, you can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope is -3/4 and the y-intercept is (0, -5). So, we can substitute these values into the equation:
y = (-3/4)x + (-5)
Simplifying the equation, we get:
y = -3/4x - 5
Therefore, the equation of the line with slope -3/4 and y-intercept (0, -5) is y = -3/4x - 5.
To find the equation of the line with a given slope and y-intercept in slope-intercept form (y = mx + b), we need to substitute the given values into the equation.
Given:
Slope (m) = -3/4
Y-intercept (b) = -5
Substituting the values into the equation, we get:
y = (-3/4)x + (-5)
Simplifying the equation, we have:
y = -3/4x - 5
Therefore, the equation of the line with a slope of -3/4 and a y-intercept of (0, -5) in slope-intercept form is y = -3/4x - 5.