Answer :
Given: Equation of a line
[tex]-5x+4y=-20[/tex]Required: Write the equation in slope-intercept form and find the slope and intercepts.
Explanation: The slope-intercept form of a line is
[tex]y=mx+c[/tex]Where m is the slope and c is the y-intercept of the line. Similarly, for the equation
[tex]x=my+c[/tex]m is the slope, and c is the x-intercept of the line.
we can write the equation of the line given as
[tex]\begin{gathered} 4y=5x-20 \\ y=\frac{5}{4}x-5 \end{gathered}[/tex]Hence, the y-intercept is -5 and the slope
[tex]m=\frac{5}{4}[/tex]The ordered pair for the intercept is (0,-5), and the slope is 5/4.
Final Answer: The slope is 5/4.
The intercept is (0,-5)
The equation written in slope-intercept form is
[tex]y=\frac{5}{4}x-5[/tex],,
