Determine the intercepts of the line. Do not round your answers. 3x+2y=5 y-intercept: (◻,◻) x-intercept: (◻,◻)

Find y-intercept: To find the y-intercept, we set x to 0 and solve for y. Substitute x = 0 into the equation 3x + 2y = 5. 3(0) + 2y = 5 2y = 5Solve for y: Now, divide both sides by 2 to solve for y. 2y / 2 = 5 / 2 y = 5 / 2 The y-intercept is at the point (0, 5/2).Find x-intercept: To find the x-intercept, we set y to 0 and solve for x. Substitute y = 0 into the equation 3x + 2y = 5. 3x + 2(0) = 5 3x = 5Solve for x: Now, divide both sides by 3 to solve for x. 3x / 3 = 5 / 3 x = 5 / 3 The x-intercept is at the point (5/3, 0).

Home

Math Problems

Algebra 1

Standard form: find x- and y-intercepts

Full solution

Q. Determine the intercepts of the line.

\newline

Do not round your answers.

\newline

3x+2y=5

\newline

y-intercept:

\newline

(\square,\square)

\newline

x-intercept:

\newline

(\square,\square)

Find y-intercept: To find the y-intercept, we set $x$ to $0$ and solve for $y$ . $\newline$ Substitute $x = 0$ into the equation $3x + 2y = 5$ . $\newline$ $3(0) + 2y = 5$ $\newline$ $2y = 5$
Solve for y: Now, divide both sides by $2$ to solve for y. $\newline$ $\frac{2y}{2} = \frac{5}{2}$ $\newline$ $y = \frac{5}{2}$ $\newline$ The y-intercept is at the point $(0, \frac{5}{2})$ .
Find x-intercept: To find the x-intercept, we set $y$ to $0$ and solve for $x$ . $\newline$ Substitute $y = 0$ into the equation $3x + 2y = 5$ . $\newline$ $3x + 2(0) = 5$ $\newline$ $3x = 5$
Solve for x: Now, divide both sides by $3$ to solve for x. $\newline$ $\frac{3x}{3} = \frac{5}{3}$ $\newline$ $x = \frac{5}{3}$ $\newline$ The x-intercept is at the point $(\frac{5}{3}, 0)$ .