A line having a slope of 3/4 passes through the point (−8,4).Write the equation of this line in slope-intercept form.
We are asked to find the equation of a line which contains (-8,4) as a point and has a slope of 3/4.
We will begin by writing the slope-intercept form.
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slope 3/4 passes through the point (−8,4)
The y-intercept form is y = mx + b where m is slope and b is the y-intercept.
Any easy path to this solution is to first right in point-slope form and solve for y.
point-slope formula: y - y1 = m(x - x1) where (x1, y1) is a point on your line and m is slope.
y - 4 = .75(x - -8)
Solve for y and distribute the slope.
y - 4 = .75x + 6
y = .75x + 10