Answer:
[tex]y=\frac{1}{4}x-3[/tex]
Explanations:
The equation of a line in slope-intercept form is expressed as:
[tex]y=mx+b[/tex]
where:
• m is the ,slope
,
• b is the ,y-intercept
From the graph, the y-intercept is the point where the line crosses the y-axis. The y-intercept is (0, -3)
Determine the slope using the coordinate point (0, -3) and (4, -2) on the line
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-2-(-3)}{4-0} \\ m=\frac{-2+3}{4} \\ m=\frac{1}{4} \end{gathered}[/tex]
Substitute the slope and y-intercept into the equation to have:
[tex]\begin{gathered} y=mx+b \\ y=\frac{1}{4}x+(-3) \\ y=\frac{1}{4}x-3 \end{gathered}[/tex]
Hence the equation of the line in slope-intercept form is y = 1/4 x - 3
