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Start by using the Slope Formula to find the slope.
y =x+3.1
An equation in slope-intercept form follows a specific format. y= mx+ b
For an equation in this form, m is the slope and b is the y-intercept.
Let's use the given points to calculate m. We will start by substituting the points into the Slope Formula.
Substitute ( - 8.3,- 5.2) & ( 6.4,9.5)
A slope of 1 means that for every 1 horizontal step in the positive direction, we take 1 vertical step in the positive direction. Now that we know the slope, we can write a partial version of the equation. y= 1 x+ b ⇔ y= x+ b To complete the equation, we also need to determine the y-intercept b. Since we know that the given points will satisfy the equation, we can substitute one of them into the equation to solve for b. Let's use ( 6.4, 9.5).
A y-intercept of 3.1 means that the line crosses the y-axis at the point (0, 3.1). We can now complete the equation. y= 1x+ 3.1 ⇔ y =x+3.1