Question 18 - of 25 Step 1 of 1
Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answ Point $(0,-2) ;$ Slope $=\frac{1}{4}$
Answer
The equation of the line in slope-intercept form that passes through the point \((0,-2)\) with the slope \(\frac{1}{4}\) is \(\boxed{y = \frac{1}{4}x - 2}\).
Step 1 ：The slope-intercept form of a line is given by \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
Step 2 ：Since the line passes through the point \((0,-2)\), this means that when \(x=0\), \(y=-2\). This gives us the y-intercept.
Step 3 ：The slope is given as \(\frac{1}{4}\).
Step 4 ：So we can substitute these values into the equation to get the equation of the line.
Step 5 ：Let \(m = 0.25\) and \(b = -2\).
Step 6 ：The equation of the line in slope-intercept form that passes through the point \((0,-2)\) with the slope \(\frac{1}{4}\) is \(\boxed{y = \frac{1}{4}x - 2}\).
