Answer:
Equation of line in slope-intercept form is: y = -8x-39
Step-by-step explanation:
Given points are:
(-4, -7) and (-6, 9)
The slope-intercept form is given by the equation
Here m is the slope of the line and b is the y-intercept.
m is found using the formula
Here
(x1,y1) = (-4-7)
(x2,y2) = (-6,9)
Putting the values in the formula
Putting slope in general equation
Putting (-6,9) in the equation
Putting the value of b we get
Hence,
Equation of line in slope-intercept form is: y = -8x-39
An equation is formed of two equal expressions. The solution is (-9,-2).
<h3>What is an equation?</h3>An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the equation x + 3y = -15 and -3x + 2y = 23,
Step 1- Multiply the equations to make the coefficients match in either the x- or y-variable.
x + 3y = -15
3x + 9y = -45
Step2- After you multiply, add or subtract the two equations.
3x + 9y -3x + 2y = -45 + 23
Step 3- Then solve for the variables that is left.
11y = -22
y = -2
Step4- Substitute the value of y in any one of equations to solve for x.
x + 3(-2) = -15
x - 6 = -15
x = -9
Hence, The solution is (-9,-2).
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