The equation of the line in slope-intercept form is y + 2 = (5 / 3) · (x + 5).
What is the equation of the a in slop-intercept form?
Linear equations are first order polynomials whose slope-intercept form is introduced below:
y - y₁ = m · (x - x₁) (1)
Where:
- (x₁, y₁) - Coordinates of a point lying on the line.
- m - Slope
- x - Independent variable
- y - Dependent variable
And the slope of the line is determined by the secant line formula:
m = Δy / Δx (2)
Now we proceed to determine the equation of the line in slope-intercept form:
m = [5 - (-5)] / [4 - (- 2)]
m = 10 / 6
m = 5 / 3
y + 2 = (5 / 3) · (x + 5)
The equation of the line in slope-intercept form is y + 2 = (5 / 3) · (x + 5).
To learn on equations of the line: https://brainly.com/question/14200719
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