The equation represents the line that passes through (- 6, 7) and (- 3, 6) is y = -1/3x +5
The slope-intercept form is just a means of formulating a line's equation so that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are clearly visible. This form is frequently referred to as the y = mx + b form. This line form is one of the most prevalent in algebra classes.
A line's slope-intercept form is y = mx + b, where m is its slope and b is its y-intercept.
The equation of the line which is passing through two points is:
y₂-y₁ / x₂-x₁
(6-7)/(-3+6)=-1/3
A line's slope-intercept form is y =mx +b, where m is the slope and b is the y intercept.
y = -1/3 x +b. We must now calculate b, the y intercept. To find b, plug one of the given points into the previous equation and solve for b.
6 = -1/3(-3) + b
b = 5
y = -1/3x +5
Therefore, the equation represents the line that passes through (- 6, 7) and (- 3, 6) is y = -1/3x +5
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