write the slope intercept equation for the line with the given slope that contains the given points....M=-3/4;(0,5)..Show work
we have:
y - y_o = M(x - x_o)
y - 5 = (-3/4)(x - 0)
We obtain
y = (-3/4)x + 5
Find the slope and y intercept of the line given...y=5/6x= -14
To find the slope-intercept equation for a line, we use the formula:
y = mx + b
Where:
- y is the dependent variable.
- x is the independent variable.
- m is the slope of the line.
- b is the y-intercept of the line.
Given that the slope, m, is -3/4, and a point (0,5) is on the line, we can substitute these values into the equation.
Step 1: Substitute the slope, m, into the equation:
y = (-3/4) x + b
Step 2: Substitute the coordinates of the given point (0,5) into the equation:
5 = (-3/4) * 0 + b
Simplifying this equation, we find:
5 = 0 + b
5 = b
Therefore, the y-intercept, b, is 5.
Step 3: Rewrite the equation using the slope-intercept form:
y = (-3/4) x + 5
So, the slope-intercept equation for the line with the given slope (-3/4) and passes through the point (0,5) is y = (-3/4) x + 5.