write and equation of the line passing through the given point (4,-5) and having the given slope m=-7 write the answer in slope intercept form
The slope-intercept form of a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept.
Given: m = -7 and the point (4, -5)
Since we know the slope m and a point (x₁, y₁), we can use the point-slope form of a linear equation to write the equation:
y - y₁ = m(x - x₁)
Plugging in m = -7, x₁ = 4, and y₁ = -5:
y - (-5) = -7(x - 4)
Simplifying:
y + 5 = -7x + 28
Now, let's transform the equation into slope-intercept form by isolating y:
y = -7x + 28 - 5
y = -7x + 23
Therefore, the equation of the line passing through the point (4, -5) with a slope of m = -7 is y = -7x + 23 in slope-intercept form.